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

46,374 results

1. ### 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 18, 2015 at 10:55pm ...
2. ### 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?
3. ### Pre-Calculus 12

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

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

Using logarithm table,solve,0.016*0.084/0.48
6. ### bfmsss

please I need help i this question.Solve 2*=7 using logarithm tables
7. ### 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. Express the logarithm...
8. ### Math - Logarithm

Solve the following logarithm equation. Please show all of your work. log (5 + x) – log(x – 2) = log 2
9. ### 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 b. For # 2, y = 3 + e...
10. ### math

use the change-of-base formula to write the given logarithm as a multiple of a common logarithm. In 5
11. ### 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)
12. ### 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.
13. ### algebra

solve. 3^x+1=4^X+1 its a logarithm
14. ### Logarithm help

Solve to the nearest thousandth. 5^1+x = 2^1-x
15. ### Logarithm

Ln(2x-1)^2=7 solve for x. Really confused
16. ### logarithm

Solve the equation for x. e^ax=Ce^bx, where a cannot equal b So is the answer x=(1/a-b) ln C
17. ### 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
18. ### Logarithm help

Write each expression as a single logarithm I need help really fast. I have to finish this by today. log4^3 + 1/2log4^8 - log4^2
19. ### 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 concentration I have no idea ...
20. ### 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.
21. ### LOGARITHM

Ln(2x-1)^2=7 solve for x. Please check my answer!!! =17.0577259793 Is this number too big?
22. ### 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 each side of the ...
23. ### Math - Logarithm

Solve the following equation. Please show all of your work. 5 ln 2x = 10
24. ### 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.
25. ### math -logarithm

Use the definition of logarithm to simplify each expression. log10 10,000 log10 10 log10 10−4
26. ### 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 = 0.3679.. OR e^0.5 = 1.6487..
27. ### 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
28. ### logarithm

So I have to an expression as the logarithm of a single number or expression with a coefficient of 1 9log w+ 4log z- log(x-5) my answer is: log w^4*z^9/(x-5).. is this right? thanks in advance!
29. ### Math

Expand using logarithm properties: log6 x(x+5)/x^6 I am so confused about this problem. Could anyone explain this to me?
30. ### 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)
31. ### 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.
32. ### 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 two decimal places...
33. ### 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?
34. ### Logarithm

Determine the value of each logarithm a) Log(4)256 b) Log(2) 1/64 Thank you!
35. ### Maths sequence and series

1)prove that logx+log(xy)+log(xy^2)+...is an arithmetical progression and show,without using tables that when x=160 2)sum the series 2+6+18+54... To thirty term,by using logarithm,verify that this sumis breather than 2x10^14
36. ### 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) = loga 8
37. ### 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 and d]
38. ### 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.
39. ### 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: loga_x=c ; logb_x=d......
40. ### 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<15.270 3. Convert log(base 5) 47 to a natural logarithm ...

Express y as a function of x. What is the domain? Explain your answer. log4y = x + log4 Solving exponential equations with logarithms Solve to the nearest thousandth. 5^1+x = 2^1-x
42. ### algebra

I just need a quick check before I hand in my work if you would...Thanks. 1. I am to use the intercepts to graph the equation x+3y=6 I used the formula y=mx+b using 3 and -6 for x I got these as my ordered pairs to graph (3, 1), (-6, 4)…Is this correct? 2. Multiply -2/1*(-6/...
43. ### 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?
44. ### precalculus

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

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

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

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

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

solve the logarithm log_2 (x -1)- log_2(5x +1) = -3 I got -3, is this correct???????
50. ### 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))
51. ### logarithms

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

find the volume of solid inside the paraboloid z=9-x^2-y^2, outside the cylinder x^2+y^2=4 and above the xy-plane 1) solve using double integration of rectangular coordinate. 2) solve using double integration of polar coordinate 3)solve using triple intergation
53. ### 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)
54. ### 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 x log 3 = log 1.295 x...
55. ### Math (FST Exponential & Logarithm)

Find the exponential model using y=a(b)^x with (9, 120) & (12, 216) (round to 4 decimal places- show work)
56. ### math

solve the following trig equation : 7 = 8sin(1/2)x. I can solve this using the half-angle indentity. But i need to solve this using period and phase change equation. how do i do this?
57. ### 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 output voltage versus the...
58. ### checking answers 4 algerbra

1. What percent of 120 is 48? 57.6%? 2. collect like terms. 17T + T + 15/13T= 249/13T? 3. solve using the principles together. 3x-6=12 i am solving for x=6? 4. solve using the addition principle. -37+n=19 i am solving for n= -18? 5. solve using the multiplication principle. -...
59. ### checking answers 4 algerbra

1. What percent of 120 is 48? 57.6%? 2. collect like terms. 17T + T + 15/13T= 249/13T? 3. solve using the principles together. 3x-6=12 i am solving for x=6? 4. solve using the addition principle. -37+n=19 i am solving for n= -18? 5. solve using the multiplication principle. -...
60. ### 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.
61. ### math

1. solve by using the quadratic formula. 5x^2+x=3 2. solve by completing the square. x^2=5x+2 3.solve by using the square roots method. 5(x-2)^2=3
62. ### Logarithm

Without using a calculator, find the value of x such that 9(3^x)^3= square root(1/27^2) So the answers show that 3^2(3^3x)= square root(1/3^3x) Why is it 1/3^3x? Wasn't it 1/27^2? Please explain clearly to me, thks!
63. ### 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 so far are correct, ...
64. ### Differential Equations

x dy/dx + y = 1/y^2, solve using bernoulli's equation. i got to du/dx + (2u)/x = 2x(u)^(-1/2). the u^(-1/2) is obviously a problem if im going to solve it using an integrating factor. if that is not what you yourself have gotten to then please show me my error.
65. ### Math

When fX(x) = {1/3, if −2<x≤1, 0, otherwise, we have fY(y) = {g(y),if a<y≤b, 0,otherwise. Give a formula for g(y) and the values of a and b using standard notation. (In your answers, you may use the symbol 'e' to denote the base of the natural logarithm...
66. ### Algebra

I have a few problems I need you to take a look at and tell me if I arrived at the right answer. 1. I am to use the intercepts to graph the equation x+3y=6 I used the formula y=mx+b using 3 and -6 for x I got these as my ordered pairs to graph (3, 1), (-6, 4)…Is this correct...
67. ### algebra

I have a few problems I need you to take a look at and tell me if I arrived at the right answer. 1. I am to use the intercepts to graph the equation x+3y=6 I used the formula y=mx+b using 3 and -6 for x I got these as my ordered pairs to graph (3, 1), (-6, 4)…Is this correct...
68. ### Algebra/math

I have a few problems I need you to take a look at and tell me if I arrived at the right answer. 1. I am to use the intercepts to graph the equation x+3y=6 I used the formula y=mx+b using 3 and -6 for x I got these as my ordered pairs to graph (3, 1), (-6, 4)…Is this correct...
69. ### Math/Check

I have a few problems I need you to take a look at and tell me if I arrived at the right answer. 1. I am to use the intercepts to graph the equation x+3y=6 I used the formula y=mx+b using 3 and -6 for x I got these as my ordered pairs to graph (3, 1), (-6, 4)…Is this correct...
70. ### Algebra/no response yesterday

I have a few problems I need you to take a look at and tell me if I arrived at the right answer. 1. I am to use the intercepts to graph the equation x+3y=6 I used the formula y=mx+b using 3 and -6 for x I got these as my ordered pairs to graph (3, 1), (-6, 4)…Is this correct...

Solve using substitution. y = x – 2 x + y = 10 7x + 2y = - 8 8y = 4x Solve using elimination. 2x + 3y = 12 2x – y = 4 5x – 2y = - 19 2x + 3y = 0
72. ### Math

Evaluate the expression without using a calculator: log4(2)= ____? Use a calculator to find the logarithm accurate to four decimal places: log4(27)= ____?
73. ### 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 exponential function is the ...
74. ### trig 30

Please help I need to solve the following question for x, where 0<x<2pi. and then write a general solution for the equation. The question is 2cos^2 x + cos x =1. I need to solve this using radian measurement. I solved it using algebra and was told I wasn't allowed. Could...
75. ### Logarithm Functions

Solve this log function: a) log (sqrt(x^2-3x))=0.5 b) log (sqrt(x^2+48x))=1
76. ### Math

Solve using substitution 3x - 9y = 3 6x - 3y = -24 Solve using elimination y - 1/2x = 6 2x + 6y = 19
77. ### Math help

Solve using substitution 3x - 9y = 3 6x - 3y = -24 Solve using elimination y - 1/2x = 6 2x + 6y = 19
78. ### Algebra Multiple Choice

Hello, This is the last of questions I have for my practice assignment. Again I will put what I got. Thanks for your help. 1.) Solve the system using substitution. Write answer as an ordered pair. 4x+2y=8 -5x-2=y A.) First equation (-2,8) B.) Second equation (-2,8) I put A 2...
79. ### 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 places. please show work
80. ### 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
81. ### 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 logx+log y 1/3logx 4 ...
82. ### MATH

1. which ratios form a proportion a. 3/15 , 12/55 b. 8/24 , 12/35 c. 5/18 , 25/90 d. 4/11 , 16/25 4. solve the proportion using number sense: 2/8 = x/48 a. 6 b. 12 c. 16 d. 8 5. Solve the proportion using cross products. 18/20 = k/110 a. 99 b. 122 c. 3.3 d. 2.9
83. ### 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 how to it-I've reread...
84. ### 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 ln(13) / ln(e)
85. ### Math

Using Dis. Property to solve Equations Use the Dis Property Combine like terms Solve using inverse operations 3(a-3)= 2(a+4) Somebody please explain!
86. ### algebra

Q: when graphing the equation y = 4/3x + 2, the y intercept is? A: (0,2) Q: Determine whether - 3.5 is a solution of the inequality. x greater than or equal to 6 A: No Q:identify the y intercept of y = x + 8 A: (0,8) Q:solve using multiplication principle then graph - 15x >...
87. ### Solve Inequality

Solve the inequality. Express your solution using interval notation and please show all of your work. x(x + 6)(8 – x) >= 0 I need help, I guess I'm not understanding the interval notation portion. I know, that when 0 <= x <= 8 and x <= -6 that the statement is ...
88. ### 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 at your order of ...
89. ### 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. Simplify the ...
90. ### 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 for a method of ...
91. ### College Algebra

Solve the system of equations using matrices. If system has no solution say its inconsistent. 6x + y = 5 3x - y + z - w = 8 z + w = 2 Solve the system of equations using Cramers Rule if applicable. 4x + 2y = 8/5 5x - 5y = 5
92. ### Algebra

Solving quardratic equations using factoring. 2X^2+2X-4=0 The book says the answer is -2,1. I got the -2,1 but not in the order of -2,1. I used FOIL to solve. When I use -2,1 I don't can not solve. When I use 1,-2. I can solve. I am not clear.
93. ### 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 says 10x and punch ...
94. ### 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 paint and uploaded ...
95. ### math

Can someone please check my work? Solve using substitution method 1. 3x+2y=12 x=52-6y answer:-40.8 I am pretty sure that one is wrong. Solve using elimination method 2. 2r-7s=-31 7r+2s=24 answer: (230/53,-468/53) 3.3x+4y=3 6x+8y=6 answer: No answer. problems eliminate eachother
96. ### math, thanx!

Describe in your own words how to solve a linear equation using the equality properties. Demonstrate the process with an example. Next, replace the equal sign in your example with an inequality by using the less than or greater than sign. Then solve the inequality.
97. ### algebra

Describe in your own words how to solve a linear equation using the equality properties. Demonstrate the process with an example. Next, replace the equal sign in your example with an inequality by using the less than or greater than sign. Then solve the inequality.
98. ### math

What types of problems can be solve using the gcf?? What types of problems can be solve using the least common multiple ??
99. ### Logarithm help

Use logarithms for these questions After every 10 pages of painting, the ribbon in the dot matrix printer loses about 0.5% of its ink. A) What percent of the ink is left in the ribbon after printing 100 pages and 1000 pages I have no idea how to solve this question. I need help.
100. ### math

what is the natural logarithm of (4x-1)=36