# solve for x by writing the equation in exponential form: log sub 4 x=-2 log sub 5 (2x + 1)=2

73,386 results
1. ## Math

If ln a=2, ln b=3, and ln c=5, evaluate the following: (a) ln(a^−2/b^4c^−3)= -.9524 (b) ln(√b^−4*c^1*a^−1)= -1.739 (c) ln(a^2b^4)/ln(bc)^−2= 42.39 (d) (ln(c^−1))*(ln(a/b^3))^−4= -.03507 I am getting these answers but the problem gives me an

2. ## Algebra 2

How is the expression log 32 - log 8 written as a single logarithm? log 4 log 8 log 24 log 40

3. ## Trigonometry

This is a logs question If u=x/y^2, which expression is equivalent to log u? 1) log x + 2 log y 2) 2(log x- log y) 3) 2(log x + log y) 4) log x- 2 log y

4. ## Trigonometry

The expression log(x^n/ radical y)is equivalent to 1. n log x - 1/2 log y 2. n log x- 2 log y 3. log (nx) - log (1/2y) 4. log (nx) - log (2y)

5. ## math

how do i solve for x when x = log(32.5)? here's my work: log x = y 10^y = x then, x = log (32.5) 10^x = 32.5 10^x = 17/2 this is where i get stuck... i don't know how to get rid of the bases... can some one please teach me how? thank you! :)

6. ## Mathematics

Prove that log a, log ar, log ar^2 is an a.p. Is the following below correct? Log ar^2 - Log ar= Log ar - Log a hence applying laws of logarithm Log(ar^2/ar) = log(ar/a) Log and log cancels out and then cross-multiply hence a^2r^2 = a^2r^2 L.H.S=R.H.S

7. ## precalc

Suppose that u=log(2) and v=log(5). Find possible formulas for the following expressions in terms of u and/or v. Your answers should NOT involve any log's. a) log(0.4)= b) log(0.08)= c) log(2500)=

8. ## Algebra II

Please check answers: Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x= -2. My answer: -2/25 Solve 64^x/=5/2 Thanks.

1) use the properties of logarithms to simplify the logarithmic expression. log base 10 (9/300) log - log 300 log 9 = 2 log 3 log 300 = log 3 + log 100 = log 3+2 I just do not know how to put these together now!

10. ## Pre-Calc/Trig...

Write the equation y = log x in exponential form.

11. ## math

Given that 2 log base2 (x+15) - log base2 x = 6 1.Show that x^2 -34x +225 = 0 2. Hence or otherwise solve the equation 2 log base 2 (x+15) - log base 2 x =6

12. ## math

mathematically Evaluate without using tables 2 log base 10 raised 2 power 5 + log base 10 36 - log base10 9 that is, 2log10 5 +log 10 36 - log 10 9

13. ## math

solve for x by writing the equation in exponential form: log sub 4 x=-2 log sub 5 (2x + 1)=2

14. ## Math

Please help, thank you. Write the logarithmic equation in its equivalent exponential form. log 0.000001 = –6

15. ## college algebra

Write expression as one logarithm and simplify if appropriate. log 3√x + log x^4 - log x^3 4 log (x+3) - 5 log (x^2+4) + 1/3 log y I have these who problems but I don't know where to start. HELP Please.

16. ## Logs.

Can you please help me with the following log. problems? thanxs! Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 7^x = 6^(x + 7) this is how far I got: x log 7/x log 7=

17. ## Math

The problem 8^x = 16^x+2 the choices a)8 and b)-8. Help please! Given that information I want to say the answer is -8 ? where is the 2. Use parentheses. Is it 16x+2 or 16x+2 The 2 is part of the exponent. Take the log of both sides. log 8x=log 16x+2 x*log

18. ## math

Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) – log(4) (e) log(x) = log(5x) – log(5) (f) ln(25) = 2ln(5) (g) ln(1) =

19. ## TRig WIth LoGs help1!!

i have problem i can't solve and the book is no help.. anyone got osme hints or somehting i could start off doing? the problem is... Solve for x: log(x^3)= (log x)^3 Rewrite it as 3 log x = (log x)^3 The use algebra (divide each side by log x) to get (log

20. ## Maths

I got this question, and found what I believe to be the solution, but want it confirmed. I started with: log[base5](2x+1) + log[base5](x-1) = 1 And used the product law: log[base5]((2x+1)(x-1)) = 1 log[base5](2x^2-x-1) = 1 Then I changed to exponential

21. ## Math (Logarithms)

How do u do logarithms where there is a log on one side and a number on the other... Example- -21.044=log(P/30) I don't want just an answer to the example, i need to know how to do it please... convert your log equation into an exponential equation.

22. ## Logarithms

Kepler's third law of planetary motion relates P, the period of a planet's orbit, to R, the planet's mean distance from the sun, through the equation log P = 1/2 (log k + 3 log R), where k is a constant. a) Rewrite the formula as a single logarithm. b)

23. ## Calculus

Express in exponential form: y = -log x with base 2 the - in front is like a -1 multiplied so write it as y = log2 x-1 then 2y = 1/x

24. ## Math - Exponential equation

Solve the exponential equation. Express your solutions in exact form only. Please show all of your work. 5e^(x log(9)) = 11

25. ## Math

Find the value(s) of x for which the equation is true. log(x + 20) = log(x) + log(20) Solve the logarithmic equation for x. (Enter your answers as a comma-separated list. Round your answer to four decimal places.) ln(x − 2) + ln(x + 3) = 1

26. ## Math-LOGS

Express x in terms of a,b and c. log x = 1/2 (log a + log b - log c) Please solve and explain how to do this type of problem, thank you!

27. ## mathematics -logs

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e

28. ## math

solve exactly for a in the equation: log a^5 + log a^(3/2) = log 625 4 2 8 the 4,2,8 are the bases

29. ## Math - Logarithmic

Is the following correct when restating logs with variables to exponential? Log: log_a(a^3) --- base = a Exp: a^3 = a I know when dealing with real numbers, this is what you do: Log: log(10^5) Exp: 10^5 = 100 000

30. ## math

Q1:solve log(5)x-log(25)(x+10) = 0.5 Q2:If 2log(a)x=1+log(a) (7x-10a) ,find x in terms of a. Q3:Find x for which 27x3^lgx = 9^1+lg(x-20) Q4:Find x in terms of a and c ,given that log(√ a)(1/x)+log(a)x +log(a^2) x +log (a^4)x=c

31. ## College Algebra

Solve the logarithmic equation. Express your solutions in exact form only. Please show all of your work. log base 6 (64x^3+1)-log base 6 (4x+1)=1

32. ## maths

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e

33. ## math retry 2

8^x = 16^x+2, x+2 -2=0 8^x =16^x+2, 2 x 8 = 16 log sub 5 (2x+3)=2 2(7/2)+3=2 log sub 5 (2x+3)=2 log sub 5 =11 The first and second lines make no sense whatsoever. The last is even more confusing. Watch 8^x = 16^(x+2) 8^x = 8^2(x+2) x= 2x+4 solve for x. On

34. ## Math short but tricky

Solve log. 2 log (x-1)= log (x+1) the answer is 3 but i don't know how to get it...Any one hint or suggestion will be greatly appreciated :)

35. ## Algebra

Is this correct? Rewrite as an equivalent exponential equation. Do not solve. log[8](64)=2 Answer= 8^2=64

36. ## chemistry

Q: Calculate the pH of a solution that is 0.56 M HC3H5O3 and 1.28 M NaC3H5O3. I used the H-H equation for this and got this so far: HC3H5O3 acid NaC3H5O3 base pH = pKa + log([NaC3H5O3]/[HC3H5O3]) = -log(Ka of HC3H5O3) + log(1.28/0.56) = -log(1.4*10^-4) +

37. ## Math

Write the exponential equation in its equivalent logarithmic form. 5^4 = 625 I know I have to change it to log or ln and something is equal to I think either 4 or 5.

38. ## math

solve for x without using a calculator 5^(x+1) = 25 i know that x would equal 1 because 5^2 is 25, but i don't know how to show how to solve it All you need to do is what you just did: Explain that if x = 1, the equation is satisfied. If you are looking

39. ## Pre calculus

Okay, I'm really fuzzy about my log and exponential chapter. For example, solving some exponential equation such as e^3x-7 x e^-2x=4e I assume I start this equation by taking the natural log of both sides, but how will I know just by looking at an equation

40. ## Algebra 2

solve for x: 3^2x+3=7^x+1 I did 2x+3=log0f3(7)+ logof3(7) (2-log of 3(7))x=log of 3(7)-3 x=log of 3 (7)+log of 3 (3^-3)/log 0f 3 (3^2)-log of 3 (7) x=log of 3 (7-1/3^3)/log of 3(9/7) log of 3(7/27)/log of 3(9/7) answer log of 9/7(7/27) Is this correct?

41. ## Algebra 2 once more

I have more answers that I would like checked. Also, there is one that I'm really confused about. I appreciate any help. :) Rewrite as the log of a single number. 1) 8 ln 2 = ln(2^8) 2) log 42 - log 6 = log 36 (I think this one may be wrong). Evalute each

42. ## Precalculus

Explain how to do these please. 1. solve x=log(base2)*1/8 by rewriting in exponential form. 2. Solve log(3x+1)=5 3. Solve log(base x)8=-1/2

43. ## algebra

logarithms Solve the following equations 3^x-2=6 Add 2 to both sides of the equation to start. Whatever operation you do to one side of an equation you must do to the other side as well. 3^x - 2 + 2 = 6 + 2 3^x = 8 Changing to logs: log 3^x = log 8 x log 3

44. ## algebra

solve 4^3x-4=32^x+2 Please help! Do you mean 4^(3x) -4 = 32^x +2 ? yes If that is really what you mean, I cannot get a closed-form solution for you. You would have to solve it by trial-and-error or graphical means. If, on the other hand, you mean

45. ## Advanced Functions/ Precalculus Log

1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)x-log(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x-1). Round answer to

46. ## pre-calculus

What is the base of the function F(x) = b to the power of x if the graph has points of (1/3, 2)and another off the subject one if g(x)= log 7 x what is g(1/49)? If F(x) = 2 when x = 1/3, and if the fucntio is of the form F(x) = b^x, then 2 = b^(1/3) Cube

47. ## algebra homework

please check my answers. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. ln sqrt x+6 = 9 i got {e^9-6} log (x + 4) = log (5x - 5) i got: 9/4 log (x + 30)

48. ## Math

h(x) = log (6x+5/7x-4) Find a formula for the inverse function h^-1(x) h^-1(x) = My work so far h(x) = log(6x+5/7x-4) y=log(6x+5/7x-4) x=log(6y+5/7y-4) 7xy-4x= log(6y+5) how would I solve from here. Would I solve for y then do the natural log of both sides

49. ## Re: Algebra II

How to solve Log (9x+5) - Log ((x^2)-1) = 1/2 16 16 (The 16 is from the logarithmic function : b) (y=log x) b Could anyone post the answer to this? 16 is supposed to be next to Log(16) but lower. This is for both the Logs in the equation.

50. ## Precalculus

Solve each exponential equation. Give answers as decimals accurate to the thousands place. 1) log(base5)14=2x-9 2) log(base7)5=7-6x 3) (1/3)^(3x+5)=(9)^(8-x) 4) 4^(x-5)=8^(x+2)

51. ## math

write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A - log B 3 log A^n = n log A use these three rules and it

52. ## Calculus AB

How do you solve a system of logarithmic equations? They have completely different bases: {(log(25)^3)x + (log(2)^7)y = log(5)^27 {(log(7)^8)x + (log(3)^5)y = log(49)^2

53. ## check!

here is the question: log5(x-4)= log7x solve for x. These are just base 10 logs. log100 = 2 This equation has the same format as log 40 = log (2x20) Since both sides have log base 10, you divide by log base 10 and end up with 5(x-4) = 7x, so 5x -20 =7x

54. ## Algebra 2

how do not understand how to do this Log X + Lob (X-3) = 1 I know I do this Log X(X-3)=1 then I do this Log X^(2) - 3X = 1 then I do this 2 Log (X-3X) = 1 then 2 Log (-2X) = 1 then (2 Log (-2X) = 1)(1/2) Log (-2X) = 1/2 then (Log (-2X) = 1/2)(-1/2) Log X =

55. ## calculus

Please help me solve this equation. log[2](3)+log[2](x)=log[2](5)+log[2](x-2) 1. Solve equation by setting up algebraically. 2. Use appropriate properties of Logarithm to reduce the number of logarithmic terms to only one. 3. Solve logarithmic equation.

56. ## chemistry

The definition of pH is: pH = -log 10[H^+] what is the defintion of the [OH^-]... is it pOH = -log 10[OH^-]? Yes!! pH = - log10 anything. pKa = -log Ka Pkb = -log Kb pKw = -log Kw = 14 PKsp = -log Ksp (solubility product) and so on into the night.

57. ## Math

solve log(7x-3)+2log(5)=2+log(x+3) I've attempted to do this question and I ended up with log(7-3)+log(5^2)-log(x+3)=2 but I don't what to do next or whether I did something wrong.

58. ## Trigonometry

Solve for x to the nearest hundreth and can you explain how you get your answer I don't understand 3^x = 1.295 Your question has nothing to do with trigonometry. You can solve for x by taking the logarithm (to any base) of both sides of the equation. Then

59. ## precalculus

My book tells me to solve each exponential equation. I am given a lot of problems such as 6^x+1 = 4^2x-1 where I use In in the problem to help get my answer. However, in the same section, the book starts giving me problems such as 3(2)^x-2 +1=100 and

60. ## Precalculus

This is for solving exponential/logarithmic functions: (This is a base e Logarithmic function I would assume): e^(4x)/10 =4^x-2 ? I understand the properties of logs for the most part, but I have a hard time figuring out the step-by-step process on how to

61. ## Math

Find the exact solution, using common logarithms, and a two-decimal-place approximation of each solution. log(7x + 4) = 2 + log(2x − 3) Solve the equation. log(x^3) = (log x)^2

62. ## Trigonometry /Logarithms (brace yourself)

This is an outline that i have to use to find the solution of the question. It involves logarithms and half-angle formulas.I have worked though it but got stuck on some parts. I'd like if you look over my work. solve the triangle for which given parts are

63. ## trigonometry

This is an outline that i have to use to find the solution of the question. It involves logarithms and half-angle formulas.I have worked though it but got stuck on some parts. I'd like if you look over my work. solve the triangle for which given parts are

64. ## Precaculculus

Suppose you are told that log(2)=0.3562 and log(3)=0.5646. All of them with the base of 'a'. Find: i) log(6) ii) log(9) Solutions i) log(6)= log (3)(2) = log 3 + log 2 = 0.5646 + 0.3562 = 0.9208 ii)log(9)= log 3^2 = 2 log 3 = 2 (0.5646) = 1.1292

65. ## logarithms

Solve the logarithm equation. Express the solution in exact form only. log[6](64x^3+1)-log[6](4x+1)=1

66. ## algebra

2. The level of thorium in a sample decreases by a factor of one-half every 2 million years. A meteorite is discovered to have only 8.6% of its original thorium remaining. How old is the meteorite in millions of years? 2) You need to show how you use the

67. ## Math - Logarithm

Solve the following logarithm equation. Please show all of your work. log (5 + x) – log(x – 2) = log 2

Which of the following expressions is equal to log (x sqrt-y)/z^5 A. log x + log (1/2) + log y– log 5 – log z B. log [x + (1/2)y – 5z] C. log x + (1/2)log y – 5 log z d. [(1/2) log x log y]/(5 log z)

69. ## Math log equations/exponential form

How do i express this to exponential form? a) log√2(w^2 x^3/y^5 z^7) b) log(x^2 y^3 √z-1)

70. ## math

write as a single logarithm: ln(x/x-1)+ ln(x+1/x)- ln(x^2-1) please show me the steps. thanx Michelle, I hope you know the three main rules of logs. 1. log (AB) = log A + log B 2. log (A/B) = log A - log B 3 log A^n - n log A Using these rules and guessing

71. ## Pre-Calc

Hi, I need help writing log(x^2-9)-log(x^2+7x+12) as a single logarithm. Thankyou! since there is a subtraction sign in between that means you divide the two terms...so it would be log(x^2-9/x^2+7x+12) you can go further and factor the two...so by

72. ## Algebra

1)If y varies inversely as x and y = 3, when x = 6. Find y when x = 36. A)72 B)2 C)1/2 D)18 I chose C y1/x2 = y2/x1 3/36 = y2/6 18/36 = 1/2 2)Write the equation 4^-3 = 1/64 in logarithmic form. A)log64 = 4^3 B)log^-3 64 = 4 C)log^4 1/64 = -3 D)log^4(-3) =

73. ## Math

Help with these problems would be greatly appreciated: 1.Find the definite integral of dx/(x(1+ln(x))from e^6 to 1. 2. Solve for x in terms of k for log[2,x^6)+log[2,x^10=k. (its log base 2) 3.Solve log base 3(log base 3, x)=-2

74. ## trigonometry repost .

This is an outline that i have to use to find the solution of the question. It involves logarithms and half-angle formulas.I have worked though it but got stuck on some parts. I'd like if you look over my work. solve the triangle for which given parts are

75. ## maths

Combine into one log: log √ x + 1 + 9 log x i.e. rewrite as an expression of the form log u, where u is a function of x.

76. ## Math

How would you solve this equation? log(ab)=log(a)*log(b) a=30, b=60 Does the it appear that this is a true statement? Why?

77. ## Mathematics

Simplify by writing as a single logarithm & State restrictions: log(6𝑥^2+5𝑥−6) + log(2x − 3) − log(4𝑥^2 − 9)

78. ## Logarithm help

using logarithms to solve exponential equations. 5^1+x = 2^1-x I need exact numbers. I did one on my own already. 5^x-1 = 9 5^x-1 = 9 log(5^x-1) = log9 (log5)(x-1) = log9 x-1 = (log9/log5) x= (log9/log5)-1 x = 2.3652 Logarithm help - Joe, Friday, September

79. ## statistic

With an exponential transformation, how does the data set (x, y) change? (2 points) (log x, y) (x, log y) (log x, log y) cannot be determined without a data set

80. ## statistic

With an exponential transformation, how does the data set (x, y) change? (2 points) (log x, y) (x, log y) (log x, log y) cannot be determined without a data set

81. ## maths

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e

82. ## Trig

log base b 64 - log base b 16 = log base 4 16 solve for the variable.. i got to the part as far as: (log 4/log b) = 2 now i m stuck at how i can isolate the b. plz help!

83. ## math

This was a question asked yesterday that I am stuck on also -- could you explain how to solve this using this "log" on the calculator please? I'm working on a problem where I was given a table and had to find the exponential equation of best fit. The table

84. ## Precalc

1. Solve log (4x) = log (2) + log (x-1) the fact that this is x-1 and not + is really messing me up because i keep getting a negative number and that isnt possible 2. Solve: absolut value of(x^2 -4x-4) = 8 thanks so much!!! I have been studying and my

85. ## Math 12

Hey everyone; There are some questions on my review I am having trouble with. 4. Evaluate each logarithm. g)log base 5 square root 5 I can't figure out how to do square roots... h)log base 3 1 I got 3, but the anwser is 0 Also, directions ask you to write

86. ## Algebra 2

-Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent? My answer: Let b=2, m=8, n=16 *log base b (mn)=log base b of m + log base b of n log base 2 of 8+ log base 2 of 16=7 * (log base b of m) (log base

87. ## Math/trig

Log radical b/ a^2 is equivalent to 1) 1/2 log b + 1/2 log a 2) l/2 log b- 2 log a 3) 2 log b - 1/2 log a 4) 1/2logb/2 log a

88. ## math

Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9)) in a form with no logarithm of a product, quotient or power. After rewriting we will have: log(base 2)A+log(base 2)x+log(base 2)f(x) What is A and what is f(x)?

89. ## maths

solve the equation log(y)/log(2) + log(y)/log(4) = 6

90. ## Math

Solve the equation. log 6.44 + 3 log x - log x^2 = log 6.44 + 3

91. ## Chemistry

Calculate the hydronium ion concentration of blood which has a pH of 7.24. 7.17 x 10-4 M 5.75 x 10-8 M 1.15 x 10-7 M 0.86 M none of the above I had chose 1.15*10^-7 by doing the log equation -log(1.15...) and I but it goether with -log(10*^-7.24) and it

92. ## math

Solve log. 2 log (x-1)= log (x+1) the answer is 3 but i don't know how to get it...Any one hint or suggestion will be greatly appreciated :)

93. ## Precalculus

I'm studying for my precalc exam and have completed 42 practice problems. I have 3 I need to answer that I can't. Please help. What is the base of the function G(x) = log subscript b x if it's graph has points (16,4)? Using the properties of logarithms how

94. ## math

Given: f(x)=log 5 x what is the value of f(125) and f(1/25)? Totally lost! I assume you mean f(x) = log (5x), not log 5 * x. If this is the case, then f(125) = log 600 and f(1/25) = log (1/5) If the base of the logs is 10, then log 600 = 2.778..

95. ## PreCalculus

Hi i don't know how to do this problem solve for n^3 given that log(40 SQRT(3))/log(4n) = log(45)/log(3n) Thanks i'm copletely lost and don't know how to solve

96. ## Precalculus

Solve (log x)^2 = log x Also, when will their be a possibility that an equation will have an extraneous solution? Like if you got two solutions for a log equation, will a negative solution for x automatically be extraneous?

97. ## calculus

Use a linear approximation of f(x)=log(x) at x=1 to approximate log(3/4). Express your answer as an exact fraction; remember that log denotes the natural log.

98. ## Math

Okay so the question is: "Three people are cheering simultaneously. Measured individually, the cheers are 80dB, 80dB, and 50dB. What would the cheering measure totally? Use your knowledge of logarithms to solve." So the formula we were given a few days ago

99. ## Math - Logarithms

can someone pleaaase help me with these "solve for x": a) log_x 100 = 5 b) 3^x+5 = 81 c) log (4x + 2) - log 2 = log 6x thanks heaps!

100. ## algebra

1. logx+log(x+48)=2 14.log50+log(x/2)=2 23.log72-log(2x/3)=0 Could someone please explain to me how to solve these?