Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 670549: solve the equation 2 log (y^3/x) - 3 log y + (1/2) log (x^4y^2) please show the steps. Thanks.
Click here to see answer by lwsshak3(11628)

Question 670111: solve the equation:
1)3 ln 3x =6
2) ln √x+7 =4
3)ln(3x-4) =ln(4)-ln(x-1)
4) log(x^2-6)=1
5) (9/7)^x=6^1-x
Click here to see answer by lwsshak3(11628)

Question 670878: what is the solution to the equation log4 of 4x + 2log4 of x = 4a

Click here to see answer by Theo(13342)

Question 671139: Applying Logarithmic Properties and Change Of Base
Solve for x:
6^4x=40
Click here to see answer by lynnlo(4176)

Question 671139: Applying Logarithmic Properties and Change Of Base
Solve for x:
6^4x=40
Click here to see answer by Alan3354(69443)

Question 671265: I would just like for someone to check if my answers are right..
It says, " find the equation for f^-1(x)"
f(x)= -3x i got f^-1(x)= -x/3
f(x)= x-7 i got f^-1(x)= x +7
f(x)= (-2/5)x + 10 i got f^-1(x)= -5/2x+ 25
f(x)= square root of 4x-3 i got f^-1(x)= square root of x/2 + 1.73
f(x) = x^2 + 1 i got f^-1(x)= square root of x -1
if you could help that would be great, thanks!
Click here to see answer by Alan3354(69443)

Question 671271: The question says compute.
(4x10^4)(7x10^-6)
(2x10^-4)/(8x10^-9)
Click here to see answer by MathLover1(20850)

Question 671296: it says, "Rewrite as logarithmic equations. Use your calculator to solve for x. Round your answers to the nearest thousandth."
9^x = 60
4^(3x) = 100
6^(x+2) = 42
Click here to see answer by ReadingBoosters(3246)

Question 671781: i would just like for someone to check my answers if they could, please.
it says, " use your calculator to solve for x. round your answers to the nearest thousandth."
10^2.3=x i got .362
e^x=9 i got 2.197
10^x=15 i got 1.176
e^-1.5=x i got .176
Click here to see answer by ewatrrr(24785)

Question 672025: 10^(x-3)=100^(4x-5)
Click here to see answer by Alan3354(69443)

Question 672277: ln(x-7)+ln(x+9)=ln(9) Solve for x
What I have done:
ln[(x-7)(x+9)]=ln(9)
ln(x^2+2x-63)=ln(9)
x^2+2x-72=0
Then I get stuck If you could help that would be great!!

Click here to see answer by solver91311(24713)

Question 672279: Which facts are true for the graph of the function below? Check all that apply.F(x) = 2(Can be more than one)
A. The range of F(x) is y > 5.
B. The y-intercept is (0, 2).
C. The domain of F(x) is all real numbers.
D. It is decreasing.
E. The y-intercept is (0, 5).
F. It is increasing. 5x
Click here to see answer by lynnlo(4176)

Question 672299: I need to solve the exponential equation: 3^(4x-1)=3^31
Click here to see answer by ewatrrr(24785)

Question 672299: I need to solve the exponential equation: 3^(4x-1)=3^31
Click here to see answer by sachi(548)

Question 672378: how do I solve lob3^18=x
Click here to see answer by Alan3354(69443)

Question 672492: solve for x
4^x+6(4^-x)=5
Click here to see answer by josmiceli(19441)

Question 672558: how do I solve this equation? 3 log 2x=4
Click here to see answer by fion23(5)

Question 672741: The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours, there are 200 bacteria, and after 4 hours, there are 800 bacteria. How many bacteria will there be after 5 hours?

Click here to see answer by ankor@dixie-net.com(22740)

Question 673045: Solve the equation 6^x=72. ROund the answer to four decimal places.
Click here to see answer by mananth(16946)

Question 673067: How do I solve the equation 4^2X=64? The teacher gave us the answer, 3/2, but I don't know the steps to get to that answer.
Click here to see answer by mananth(16946)

Question 673067: How do I solve the equation 4^2X=64? The teacher gave us the answer, 3/2, but I don't know the steps to get to that answer.
Click here to see answer by Alan3354(69443)

Question 673067: How do I solve the equation 4^2X=64? The teacher gave us the answer, 3/2, but I don't know the steps to get to that answer.
Click here to see answer by MathLover1(20850)

Question 673191: 1. 8^4x+2=64
how would i correctly solve this question? could you show me the steps
Click here to see answer by MathTherapy(10552)

Question 673731: solve x^4=6^x
Click here to see answer by Alan3354(69443)

Question 673981: How do you get the solution to
Do you put x+1 In the front of 4
Then use ln?
Click here to see answer by MathLover1(20850)

Question 674115: Find the solution(s) to
How do I get rid of the square root? Is that the first step? I'm not sure...
Click here to see answer by Alan3354(69443)

Question 674118: How do I get the solution to
1/3log(x+2)=log8
Click here to see answer by swincher4391(1107)

Question 674814: A ladder 20 feet long is leaning against a wall and reaches the top of the wall. If the height of the wall is 4 feet more than the distance between the foot of the ladder and the base of the wall, find the height of the wall.
Click here to see answer by stanbon(75887)

Question 675067: Find the value of x in the equation 14^x = 0.4285.
Click here to see answer by nerdybill(7384)

Question 675369: How do I convert an equation into its equivalent logarithmic form?
Click here to see answer by stanbon(75887)

Question 675532: solve for x (1/5)^(x-1)=25
Click here to see answer by jim_thompson5910(35256)

Question 676412: jus need help with finding solution. you may not see the parenthesis around both of the (x+3) in the equation dont know if it matters but my equation is< log(x+3)=log(x+3)+log x>. the parenthesis should be there at least thats the question im looking at on my worksheet its asking me to solve for x
Click here to see answer by josmiceli(19441)

Question 676644: Log base5 (1/25)=-2 Equivalent expression in exponential form?
Click here to see answer by Alan3354(69443)

Question 676733: Hi I really would like to see the steps as to solving this problem, think I know how to do it but would just like to double check.This is for Exponential and Logarithmic functions. Thanks!
10^(3x-10)=((1)/(100))^(6x-1)
Thank you!
Click here to see answer by solver91311(24713)

Question 676905: how to solve value of the function f(x) = 7x when x = 0.75

Click here to see answer by ReadingBoosters(3246)

Question 676905: how to solve value of the function f(x) = 7x when x = 0.75

Click here to see answer by littlebitlove(26)

Question 676920: ln(2+x)=1
Click here to see answer by stanbon(75887)

Question 676917: Rewrite the rational exponent. assume that the radicand of an even root is a positive quantity.

Is it 6/7 or 7/6 I cant remember?
Click here to see answer by MathLover1(20850)

Question 676957: Solve: ln x +ln (x+5)=ln(x^3 + 15x)-ln x
Not sure how to do this problem! please show steps!
Click here to see answer by ankor@dixie-net.com(22740)

Question 676904: how to solve value of the function f(x) = 7x when x = 0.75

Click here to see answer by partha_ban(41)

Question 678478: Find X so that log base 3 of X + log base 3 of (X-3) = log base 3 of 10.
Click here to see answer by nerdybill(7384)

Question 678478: Find X so that log base 3 of X + log base 3 of (X-3) = log base 3 of 10.
Click here to see answer by jsmallt9(3758)

Question 678521: You deposit $1,200.00 in an account that pays 5% annual interest. After 10 years, you withdraw the money. Find the balance in the account if the interest was compounded quarterly.
Here's what I did. Am I right?
A = P(1 + r/n)to the nt power
A = 1200(1 + .05/4) exp 4X10
A = 1972.34
Click here to see answer by jim_thompson5910(35256)

Question 678475: Evaluate the exponential function for the given x-values.
g(x) = 10x; x = -4 and x = 3
Click here to see answer by Alan3354(69443)

Question 679199: Solve the equation e^In x + In e^x = 8
Click here to see answer by MathLover1(20850)

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