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 213709: Last digit. Find the last digit in 3^9999.

Click here to see answer by stanbon(75887)

Question 213724: Recall that the formula for compounding interest is A = P(1+ r)t where A is the total accumulated amount in an account with principal P compounded at a annual interest rate r once per year for t years.
a. How many years will it take for a principal of
P =1000 to reach an amount of A = 5000 when compounded once a year at an annual interest rate of 6%?
b. If the interest rate is doubled to 12%, what will the number of years be for the
principal of P =1000 to reach an amount of A = 5000?
Click here to see answer by jim_thompson5910(35256)

Question 214121: 1. Simplify and write the expression below using positive exponents only.
(2u-3v2)-2

Click here to see answer by jim_thompson5910(35256)

Question 214160: I should write this problem in exponential for and simplify.... I know how that works (usually) I just dont get how to do it with this problem;
cubed root of "a" times the fith root of "a".....
3_________________________5
v---- < (the v--- is the sqrt.) times v--- (just ignore the _____)
__a_________________________a
Hope my "doodling" helped a bit.....
Click here to see answer by Alan3354(69443)

Question 215336: need to come up with a real world problem that can be solved using one of the 12 basic functions. The one I need one for is the cubing function. Write equation, list the data and graph the equation
Click here to see answer by stanbon(75887)

Question 215919: Please do each step. Show your work.
Solve each aequation for x.
Part 1: log[3](x+5)=2
Step 1: Write the given logarithmic equation in exponential form.
Step 2: Solve the exponential equation from step 1 for x.
Step 3: Check for extraneous solutions.
Step 4: State the solution for the given equation.
Click here to see answer by nerdybill(7384)

Question 215991: (x-5)(x=5) express it into exponential form

Click here to see answer by rfer(16322)

Question 217121: -(7*4 - 5*5)little 4 above outside parenthesis
Click here to see answer by RAY100(1637)

Question 217121: -(7*4 - 5*5)little 4 above outside parenthesis
Click here to see answer by rfer(16322)

Question 217150: Solve
2^(2x - 1) = 8^(x + 7).
Click here to see answer by chibisan(131)

Question 217790: Arranging digits. In how many ways can you arrange the digits 8,7,6 and 3 to form a four-digit number divisible by 9, using each digit once and only once?

Click here to see answer by stanbon(75887)

Question 218207: Can someone help me with this please. IF f(x)=3x+1, and g(x)=(x^*2+5x)^*-1/2, find g(f(x)). Any explanation on how to do it would be appreciated..
Click here to see answer by stanbon(75887)

Question 218557: I would like 2 say thank u for helping me rite now
it looks like this 7x to the second power plus 3x to the second power how kan i du this can u plz help me
Click here to see answer by checkley77(12844)

Question 218579: 5z subtract z equals
Click here to see answer by rfer(16322)

Question 218590: (3^5)^3
Click here to see answer by rfer(16322)

Question 218590: (3^5)^3
Click here to see answer by MathTherapy(10552)

Question 219277: 8^(3x-1) = 64^(x+7)
Solve for x
Click here to see answer by jim_thompson5910(35256)

Question 219277: 8^(3x-1) = 64^(x+7)
Solve for x
Click here to see answer by stanbon(75887)

Question 219285: What is ln9 - 4ln3.... I am down to ln9 - ln81 but this will mean I have to divide 9 by 81...is this correct?
Click here to see answer by user_dude2008(1862)

Question 219285: What is ln9 - 4ln3.... I am down to ln9 - ln81 but this will mean I have to divide 9 by 81...is this correct?
Click here to see answer by stanbon(75887)

Question 219425: What is the value of the function f(x)=4.8e^-1.5x at x=2.5?
Click here to see answer by stanbon(75887)

Question 219426: Rewrite the logarithmic equation log4/1/16=-2 in exponetial form.
Click here to see answer by stanbon(75887)

Question 220596: The half-life of carbon-11 is 20 minutes. How long will it take for 600g. of carbon-11 to decay to 30g?
This problems is solved using logs and A=A(sub 0) e^rt
Tried this one three times and do not get the right answer. Help, please, thank you:)
Click here to see answer by nerdybill(7384)

Question 220849: solve the problem by completing the square.
-x2+4x+8=0
Click here to see answer by likaaka(51)

Question 220847: Dear Tutor,
Please help me solve this tedious math problem. Your help is GREATLY appreciated. Thanks so much!!! :)
Help me solve this by completing the square by the way please.
9x^2-12x=14
Click here to see answer by likaaka(51)

Question 220853: Dear Tutor,
Please help me solve this tedious math problem. Your help is GREATLY appreciated. Thanks so much!!! :)

By the way, I need to solve by factoring the square
4x^2-4x-99=0
Click here to see answer by josmiceli(19441)

Question 221631: How would I solve the problem;
(6 x 10^-4)(2.5 x 10^6)?
Click here to see answer by sofiyac(983)

Question 221643: I need a little help on where to continue on this problem
x^4 - 81
I got down to (x^2-9(x^2+9)
Where do I go from there?
Click here to see answer by sofiyac(983)

Question 221643: I need a little help on where to continue on this problem
x^4 - 81
I got down to (x^2-9(x^2+9)
Where do I go from there?
Click here to see answer by stanbon(75887)

Question 221734: negative 4z to the 6th y to the 3rd over
negative 16z to the 7th y to the negative 2 and all to the negative 3rd
Click here to see answer by jsmallt9(3758)

Question 223206: We are trying to solve the following problem:

I understand that it is necessary to get the base the same, but I don't understand how to get 5 to a base of 2.
Thank you, in advance!
Click here to see answer by Alan3354(69443)

Question 223459: how do you solve 5y^4-7=73
Click here to see answer by Earlsdon(6294)

Question 223459: how do you solve 5y^4-7=73
Click here to see answer by MathTherapy(10552)

Question 223651: How do I plot the graph of
? I remember the slope-intercept formula, but don't know what to do when x has an exponent. Thank you, in advance.
Click here to see answer by stanbon(75887)

Question 223942: I keep getting stomped on how to solve equations like 3x^1/3 + 2x^2/3 = 5
i get it into quadratic formula form but I don't end up getting the right answer.
Click here to see answer by jsmallt9(3758)

Question 224109: decide whether True or False
log6 (7) + log6 (1/7)
Click here to see answer by rapaljer(4671)

Question 224107: Use the property of logarithms to express the following as a single log:
5logpX+1/2logp + (-3/2)logp r-5logpa
I am clueless on where to start with this one.
Click here to see answer by rapaljer(4671)

Question 224103: I am having problems understanding the power property. The problem I received is: rewrite the expression using the power property. log9 2^-5. The answer I came up with is -5 log9 *2
Click here to see answer by rapaljer(4671)

Question 221698: Hi, I have a question on a problem I thought I did correctly off a test.
(3x^0)^3(2x^3)
I thought the answer was 18x^3 but I apparently got it wrong.. and can't figure out what went wrong. Could I get a second opinion?
Click here to see answer by ankor@dixie-net.com(22740)

Question 227453: please help find the inverse of the function f(x)= (5x-3)/(2x+1)
Thanks Alot!

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

Question 228323: Please help!
If log b < 0, what can you say about b?
Thanks so much!
Click here to see answer by Theo(13342)

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