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

24,190 results

Please help me because I do not any idea in Logarithm topic.Solve for the value of X: 6log(x^2+1)=5
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. ### 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...
4. ### 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 ...
5. ### 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...
6. ### Math - Logarithm

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

use the change-of-base formula to write the given logarithm as a multiple of a common logarithm. In 5
8. ### 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)
9. ### algebra

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

Ln(2x-1)^2=7 solve for x. Really confused
11. ### 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.
12. ### 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 ...
13. ### Pre-Calculus 12

Solve using logarithm: 2^(4x+1)=3^x
14. ### Logarithm help

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

please I need help i this question.Solve 2*=7 using logarithm tables
17. ### 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
18. ### Math - Logarithm

Solve the following equation. Please show all of your work. 5 ln 2x = 10
19. ### Math

Using logarithm table,solve,0.016*0.084/0.48
20. ### LOGARITHM

Ln(2x-1)^2=7 solve for x. Please check my answer!!! =17.0577259793 Is this number too big?
21. ### 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..
22. ### 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.
23. ### 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)
24. ### math -logarithm

Use the definition of logarithm to simplify each expression. log10 10,000 log10 10 log10 10−4
25. ### 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
26. ### 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 ...
27. ### 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!
28. ### 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?
29. ### 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...
30. ### 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
31. ### 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]
32. ### 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......
33. ### 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.
34. ### 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)
35. ### 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.

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
37. ### Logarithm

Determine the value of each logarithm a) Log(4)256 b) Log(2) 1/64 Thank you!
38. ### college algebra

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

solve the following logarithm equation log (4x+7)=1+log(x-6) x=? please show work
40. ### 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?
41. ### Algebra 2

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

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

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

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

solve the logarithm log_2 (x -1)- log_2(5x +1) = -3 I got -3, is this correct???????
46. ### 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...
47. ### 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...
48. ### 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...
49. ### 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 ...
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. ### 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.
52. ### 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.
53. ### 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, ...
54. ### 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 ...
55. ### 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 ...
56. ### 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)
57. ### 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
58. ### 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
59. ### Logarithm Functions

Solve this log function: a) log (sqrt(x^2-3x))=0.5 b) log (sqrt(x^2+48x))=1
60. ### 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.
61. ### 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 ...
62. ### 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
63. ### 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 ...

Ln2+Lnx=1
65. ### math

logarithm base 20 of 39
66. ### math

what is the natural logarithm of (4x-1)=36
67. ### logarithm help!!!!

k/k^5=logk find k
68. ### math logarithm

16.32*0.00635/0.0482
69. ### Math

Simplify the logarithm. Log10 10-3
70. ### logarithm math help

express: In(√x / y^2z ) thanks :)
71. ### Cal

Express the given quantity in a single logarithm. ln(a + b) + ln(a - b) - 2 ln c
72. ### 12 Math

Evaluate each logarithm. log^2(subscript)36^3
73. ### mathematics-logarithm

logx^2{base3}=-8 show that x=1/27
74. ### Math (FST Exponential & Logarithm)

What is the range of y= -(2)^(x-3)
75. ### Math

Evaluate the logarithm log3 729
76. ### alg

evaluate the logarithm log 5 1/625
77. ### algebra

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

Find the domain of the given function f(x) = log(2-x)
79. ### Math

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

logarithm of number less than one 0.016*0.084/0.48

log4(3x-7)^2=10. I have no idea in working it out.
82. ### 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 ...
83. ### Algebra

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

Write the logarithm in expanded form. log2(y^5)
85. ### Algebra 2

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

okay, this i cannot figure out anywhere. 2[ln(x)-ln(x+1)-ln(x-1)] evaluate into logarithm of a single quantity.
87. ### logarithm math-need help!!!!

5logxbase4+48log4basex=x/8 help me plz step
88. ### Calculus

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

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

find the logarithm off 1782 to the base 2root3
91. ### Calculus

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

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

Write the logarithm of a single quantity: 2ln(x)+ln(4)-(1/2)ln(9)
94. ### 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 number, if one is ...
95. ### math

express the following as a single logarithm log2+log3+log4
96. ### precalculas

write as a single logarithm 2IN plus In y munus In2y
97. ### algebra

Use the definition of logarithm to simply each expression log lower 10 ^10-4
98. ### 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
99. ### math: pre-calculus

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

Simplify the logarithm log2 (64). Select the correct solution.