# Solve using logarithm: 2^(4x+1)=3^x

24,249 results
1. ## urgent urgent algebra / precalculas

For # 1, im getting stuck on this problem i don't understand this 1.4 = e ^ (0.03k) Now take the natural logarithm of both sides to solve for , ln 1.4 = ln e ^ (0.03k) ln 1.4 = 0.03k * ln e Recall that ln e = 1. ln 1.4 = 0.03 k Solve for k. Then try part
2. ## Math Algebra 2

How do I put log in a TI-84 calculator. #1.Express the logarithm in terms of log2M and log2N: log2(MN)4 #2. Express the logarithm in terms of log2M and log2N: log2 the cube root of M2N #3. Express the logarithm in terms of log2M and log2N: log2 (M/N)7 #4.
3. ## 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
4. ## ALGEBRA

CONTACT THE EXPRESSIONS.THAT IS USE THE PROPERTIES OF LOGARITHM TO WRITE EACH EXPRESSION AS A SINGLE LOGARITHM WITH A COEFFICIENT OF 1. In 3-2 in 9 + 18 in 3-2 in (9+6) in 3-2 (in 4 + in 8)
5. ## math

use the change-of-base formula to write the given logarithm as a multiple of a common logarithm. In 5
6. ## Pre Cal long problem( Can I see the work on this)

A stuffed animal dealer tells you that a fish he bought for \$8 four years ago is now worth \$200 follow the steps below to find the effective yield for this investment. Begin with the equation 8(1+r) ^4=200.Solve for (1+r) ^4 Take the common logarithm of
7. ## College Algebra

I am asked to write a logarithmic expresion as a single logarithm with coefficient 1 and simplify as much as possible. The equation is: 4logbase5Y-3logbase5X+1/2logbase5Z. Could some please help me I am not understanding this whole Logarithm thing.
8. ## Pre-Calculus 12

Solve using logarithm: 2^(4x+1)=3^x
9. ## algebra

solve. 3^x+1=4^X+1 its a logarithm
10. ## bfmsss

please I need help i this question.Solve 2*=7 using logarithm tables
11. ## Math

Using logarithm table,solve,0.016*0.084/0.48

Please help me because I do not any idea in Logarithm topic.Solve for the value of X: 6log(x^2+1)=5
13. ## Logarithm help

use logarithm to solve A car depreciated at 15% per year. How long is it until it is worth half the original value?
14. ## Math Help

Hi! I'm really lost on how to do this. Does anyone know how to solve this? Thanks! :) Condesne the expression to the logarithm of a single quanity. 4(lnz+ln(z+5)]-2ln(z-5)
15. ## Math

Evaluate log(6)√6 (actual question) There's a problem in my book that says: Convert each logarithm to a natural logarithm and evaluate log(5)√288 the answer in the back is 1.7593 but I can't find an example of those kinds.
16. ## calculus

Please help me? ln(x+1)-ln(x-2)=ln(5) 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.
17. ## Math (Calculus)

Can somebody solve this logarithm problem step by step for me please: 2(lnx)² + lnx-1 = 0 First let y = ln x be a new variable, , and solve the polynomial 2 y^2 + y - 1 = 0 2(y +1)(y - 1/2) = 0 Solutions are y = -1 or +1/2 Thus x = e^y and x= 1/e =
18. ## Algebre

Please help I don't understand Contract the expression this is use properties of logarithm to write each expression as a single logarithm with a coefficient of 1. In3-3 In 9 +In 18 In3-2 in (9=6) In 3-2 (In 4 In 8) Thank you so much
19. ## pre-calculus

given that c is the logarithm of x in base a, and d is the logarithm of x in base b, find the general statement that expresses the log of x in base ab, in terms of c and d. [*subscripts not included: a,b,ab] loga_x=c ; logb_x=d ...logab_x = [in terms of c
20. ## math

given that c is the logarithm of x in base a, and d is the logarithm of x in base b, find the general statement that expresses the log of x ib base ab, in terms of c and d. I couldn't include subscripts, but here are what the logs should look like:
21. ## Chemistry

2. What is pH? A.) the negative logarithm of the hydrogen ion concentration B.) the positive logarithm of the hydrogen ion concentration C.) the negative logarithm of the hydroxide ion concentration D.) the positive logarithm of the hydroxide ion
22. ## Math Algebra 2

#4. Express the logarithm in terms of log2M and log2N: log2 1/MN #5. Simplify: log4 3 - log4 48 #6. Solve the equation: loga x = 3/2loga 9 + loga 2 #7. Solve the equation: logb (x2 + 7) = 2/3logb 64 #8. Solve the equation: loga (3x + 5) - loga (x - 5) =
23. ## 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
24. ## math

if y is equal to the logarithm of x to the base 5, what is the logarithm of x to the base 25 in terms of y?
25. ## 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
26. ## Precalculus

1. Write the given expression as a single logarithm. log(70x)+log(10y)-2 2. Write the given expression as a single logarithm. ln7e/(square root 2x)-ln(square root 2ex) 3. Write the given expression as a single logarithm. -2Ln(x)+Ln(4y)-Ln(5z)
27. ## 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.
28. ## Algebra-Did I even begin correctly?

How would I write log(6)27-2log(6)3 as a single logarithm Would I start by getting rid of the (-2)- I know its the same log6 but what would I do with the 27 and the 3 I'm really confused on this one and I have to solve several similar ones with no clue on
29. ## logarithms

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

solve the following logarithm equation log (4x+7)=1+log(x-6) x=? please show work
31. ## precalculus

solve the logarithm equation show work. log_7(x-8)- log_7(x-2)=1
32. ## math

Use the rule of Logarithm, then solve for x Log 2x+1 - log (x+5)=0 x=4 *I know x equals for can you explain how?
33. ## college alg

solve the following logarithm equation log (4x+7)=1+log(x-6) x=? please show work
34. ## Algebra 2

Can someone help me solve this problem please? The directions are to simplify the logarithm: log5(a + 2) + log5(a – 2)
35. ## Physics

The following circuits represent a logarithm amplifier The output voltage for a log amp with a diode can be determined by the formula below Vout = -(.025V)ln(Vin/IR*R1) , the ln is the natural logarithm of a number. Calculate in a table and sketch the
36. ## math

how do i solve this logarithm log(base 9)X + 3log(base 3)X = 14
37. ## Chem

Look on your calculator. You know the definition of pH. It is pH=-log(H^+). Well, we have the same thing in pKa, pKb, pOH, pKw, etc etc. pKsp = -log Ksp. Punch 57.685 into the calculator. Now change the sign to make it negative. Now look for a button that
38. ## algebra

solve the logarithm log_2 (x -1)- log_2(5x +1) = -3 I got -3, is this correct???????
39. ## Pre-Calculus

How to solve this problem by using logarithm: David inherits \$10000 and invests in a Guaranteed Investment Certificate (GIC) that earns 6%, compounded semi-annually. How long will it take for the GIC to be worth \$11000.
40. ## Math - Logarithm

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

i need help with these two homework problems Use the Laws of Logarithms to combine the expression into a single logarithm log2 5 − 5 log2 x + 1/2 log2(x + 1) Solve the logarithmic equation for x log2(x + 2) + log2(x − 1) = 2
42. ## pre calculous

use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. show your work ln x^2/y^3 Assuming x,y AND z are positive use properties of logariths to write the expression as a single logarithm
43. ## Precalculus

1. Write the given expression as a single logarithm. log(70x)+log(10y)-2 2. Simplify the expression. (Do not use mixed numbers in your answer.) (5x^7/8)(2y^4/6)(x^9/8)(4y^-2/6) 3. Write the given expression as a single logarithm. -2Ln(x)+Ln(4y)-Ln(5z) 4.
44. ## Math - Logarithms

Write the following expression as a single logarithm: 4ln2x + ln(6/x) - 2ln2x So I did... 4ln2x + ln(6/x) - 2ln2x = ln2x^4 + ln(6/x) - ln2x^2 = ln16x^4 + ln(6/x) - ln4x^2 = ln16x^(2)(2) + ln(6/x) - ln4x^2 = 2ln16x^2 + ln6 - lnx - ln4x^2 If my calculations
45. ## Pre-Calculus - Reiny

Reiny you helped me with this logarithm yesterday: How did you write it out as log2 ( √A / B^3 ) Laws of logarithms combine, write as a single logarithm Need help on this question please, Im stuck, don't know where to go abouts from here: I did it on
46. ## Calculus

Given y=log(x), what is dy/dx? If you have to derive this from first principles, then you have to use the defintion of the Logarithm. E.g. you could use that the Logarithm is the inverse of the exponential function and that the derivative of the
47. ## college algebra

write the expression as a single logarithm 1. In(x/x*2)+In(x+2/x)-In(x^2-4) solve the following logarithmic equation. 2. log_9(x-2)+log_9(x+1)=2 what is the exact solution? What is the decimal approximation for the solution when rounded three decimal
48. ## Logarithms

e^x+2=13 solve by logarithm Take the ln of both sides. x*ln e = ln 13. You can do this on your calculator. If you don't know the value of e, go to www.google.com and type in e and search. The value is about 2.7. or type this in the google search window
49. ## PreCalculus - Need help, due tonight

1. Rewrite the expression 1/2ln(x – 6) + 3ln(x +1) as a single logarithm. 2. Rewrite the expression 1/3[ln x – 2ln(1 – x)] as a single logarithm.
50. ## math

what is the natural logarithm of (4x-1)=36
51. ## math

logarithm base 20 of 39
52. ## Math

Simplify the logarithm. Log10 10-3
53. ## Logarithms

1. Find the amount of time required for an investment to double at a rate of 12.3% if the interest is compounded continuously. MY ANSWER: 5.635 yrs 2. Solve e^(0.2x) < 21.2 by using natural logarithms. MY ANSWER: X
54. ## Math

Write this equation as a logarithm of a power: w ln 4
55. ## Math

logarithm of number less than one 0.016*0.084/0.48
56. ## alg

evaluate the logarithm log 5 1/625
57. ## math: pre-calculus

Write the expression as a single logarithm. Ln(e^3y)+ln(ey)-4
58. ## Math

Evaluate the logarithm log3 729
59. ## Cal

Express the given quantity in a single logarithm. ln(a + b) + ln(a - b) - 2 ln c
60. ## College Algebra

Write each of the following as a single logarithm (log (x+3))/(3) = 1
61. ## algebra

Writ the equation in Logarithm form 25=(1/5)^2 a=b^c
62. ## 12 Math

Evaluate each logarithm. log^2(subscript)36^3
63. ## Algebra

Express as a single logarithm and, if possible, simplify: In x^2 + 3In x-In x^8 Thanks so much
64. ## math condense logs

write the expression as the logarithm of a single quantity 3[ln x-2 ln(x^2+1)]+2 ln 5
65. ## Algebra 2

Can In 5 + log2 10 be written as a single logarithm? Explain.
66. ## math

okay, this i cannot figure out anywhere. 2[ln(x)-ln(x+1)-ln(x-1)] evaluate into logarithm of a single quantity.
67. ## Calculus

express the given quantity as a single logarithm: ln(a+b)+ln(a-b)-8ln(c)
68. ## Algebra

Write the logarithm in expanded form. log2(y^5)
69. ## algebra

Write the expression in a single natural logarithm. 3 ln a - 0.5 (ln b + ln c^2)
70. ## College Algebra

Write each of the following as a single logarithm: 8) ((5-log x)/4) + 4log y =
71. ## pre calculus

Write the expression below as a single logarithm. 2in(x+4)-in((x^(2)+x-12)/(x))
72. ## Pre-Calculus 12

Write the following expression as a single logarithm: 4 log 3 + 2
73. ## calculus

Express the given quantity as a single logarithm. 1/3ln(x + 2)3 + 1/2[ln(x)− ln(x^2+3x+2)^2]
74. ## Calculus

Write the logarithm of a single quantity: 2ln(x)+ln(4)-(1/2)ln(9)
75. ## lograithm

find the logarithm off 1782 to the base 2root3
76. ## math

express log2+log3 as a single logarithm
77. ## pre calculus

Write the expression below as a single logarithm. Need to know how to work this! ln(x-5/x^2 - 1) - ln (x^2 - 2x -15/x + 1)
78. ## Calculus

Write the expression as the logarithm of a single quantity. ln 2 + 1/2 ln(x +1)-2 ln(1+ x^(1/2))
79. ## Precalc

chande into a single logarithm (1/2)ln(x^(2)+1)-4ln(1/2)-((1/2)[ln(x-4)+lnx] ) steps to please
80. ## math

Logarithm 3^3x+1=3^5x-2 3^3x+1-3^5x-2=0 Log(3^3x+1-3^5x-2)=log0 Please explain to me why is the last step is wrong
81. ## math

Estimate the value of the logarithm to the nearest tenth. log7 (55) Options --------- A. 0.5 B. 2.1 C. -2.6 6.0
82. ## pre-calculus

write the expression as a simple logarithm. express powers. In(x/x-5)+In(x+5/x)-In(x^2-25)
83. ## calculus

Express as a single logarithm ln(a)+1/2ln(b) 2ln4-ln2

Math the equation a single logarithm. Express as factors. ln(x/(x-1))+ln((x+1)/(x))-ln(x^2-1)
85. ## Math - Write expression as single logarithm

Write the expression below as a single logarithm. Please show all of your work. ln((x^2 – 1)/(x^2 – 6x + 8)) – ln((x+1)/(x+2))
86. ## Calc

express 3ln(r)- 5ln(s)+ 7ln (t) as a single logarithm.
87. ## calculus

Express as a single logarithm ln(a)+1/2ln(b) 2ln4-ln2
88. ## Math (Condensing logarithmic expression)

Write the expression as the logarithm of a single quantity 3[(ln x) -2ln(x^2+1)]+2 ln 5?
89. ## precalculas

write as a single logarithm 2IN plus In y munus In2y
90. ## logarithms

how to wirte 3log(s)-4log(c)+2log(t-4) as a single logarithm. Thanks
91. ## College math

Express the following in terms of Sum(or differnece) of logarithm's: log sub-b T^5 W^2 Z
92. ## algebra

Simplify the logarithm log2 (64). Select the correct solution.
93. ## math

express the following as a single logarithm log2+log3+log4
94. ## algebra

Use the definition of logarithm to simply each expression log lower 10 ^10-4
95. ## Math 10

Express as sum or difference of logarithm log of x(3x-5) to the base of 4
96. ## college algebra

write the expression as a single logarithm In(x/x-2)+In(x+2/x)-In(x^2-4) Please show work
97. ## Calculus

Why can't a equal 1 in y=log(base a) x. And why is x always positive in that? Hmmmm. a^y=x (from the problem statement). If a were to equal 1, then x would be 1 (1 to any power is 1). So if a is not one, but a positive number, then x has to be a positive
98. ## MATH HELP!

i have write the equation as a single logarithm 2 lnx-3 lny+1/2 lnz
99. ## trigonometry

how can i find the anti-logarithm of this number. 5.07843058944 it should be 59477.5 can show me how.
100. ## math

How would you condense a logarithm expression into a single quantity if the logs have different bases?