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

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Algebra: Exponent and logarithm as functions of power

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

Question 235930: What is the solution to the equation ln( x+1) - ln(x) = 2
Click here to see answer by stanbon(25959)

Question 235924: What are the inverse of the functions f(x)=10^x and log10^x?
Click here to see answer by stanbon(25959)

Question 234563: Express as a product
Q: log base b t^8
I don't know how to type the the letter "b" next to the word like on my paper, it is lower than the word log and the number 8 is an exponent of the letter t.
Thank you in advance
Click here to see answer by Alan3354(5863)

Question 234330: 9x(squared)-121=0
Click here to see answer by stanbon(25959)

Question 233638: How do you rewrite an expressions like 16^3/4?
How do you simplifly 64^2/3, 25^5/2, and 81^7/4 by doing two steps ? how do you calculate the value of each of these expressions?
How do you solve each of the following equations for x: 2^1.4=2^x, 8^x=4, 3^5x=9^2

Click here to see answer by rapaljer(3526)

Question 234053: What are the steps to finding 4(log9 of X)^2 - 2(log9 of X^2)=3?
Click here to see answer by stanbon(25959)

Question 233656: Can you help me write an equation for the power function, and state its power and constant of variation?
X- 1 8 27 64 125 216
Y- 2 4 6 8 10 12
Click here to see answer by scott8148(3325)

Question 232582: how much is 6792800000 as a percent ?
Click here to see answer by rfer(2588)

Question 232561: how to do 10,090,000 in scientific notation?
Click here to see answer by rfer(2588)

Question 232157: Multiply. (r + 2)^3
Click here to see answer by checkley77(6671)

Question 232172: How would you solve the following equation by either factoring or the quadratic formula?

I got this far
and I don't know what else to do.

Click here to see answer by Alan3354(5863)

Question 231960: Hello could you show me how to solve this problem and explain to me how you solved. I am trying to get a better understanding of solving these problems.
f(x)=2x²-3x

Click here to see answer by Alan3354(5863)

Question 231848: 2 to the power of 6 = 4 to the power of n?
Click here to see answer by stanbon(25959)

Question 231763: How do I work this out..
given f(x)=-7x+4 and g(x)=9x+2 represent (f+g)(x)
Click here to see answer by curioustoknow(5)

Question 231672: how do you go about solving log(x-5)+log(x-2)=1?
Click here to see answer by stanbon(25959)

Question 231015: Simplify:
Use only positive exponents to write your answer.
4t^4w^7*3x^-9x4w^-3*6t^4
Will someone please help me with this one. I do not have a clue with this really
Click here to see answer by ankor@dixie-net.com(6567)

Question 231367: Th half-life of Carbon 14 is 5730 years. If 8 grams remain after 1000 years, what was the initial quantity?
Click here to see answer by nerdybill(2413)

Question 231177: 82/3.8-1/3

Click here to see answer by rfer(2588)

Question 231152: i need help solve this equation 20(1.05)^x=80+10x
Click here to see answer by stanbon(25959)

Question 230242: Please help me solve the following
(logx)^2 - logx^2 = 3
Thanks!!!
Click here to see answer by troymuga(3)

Question 231057: Hi, I'm having problems simplifying this problem:
(x^{a+b})^{a-b}
-----------------
(x^{a-2b})^{a+2b}
Some of the things I have tried:
x^{2a-2b}
---------- ---> x^2b
x^{2a-4b}
I'm also beginning to think it isn't possible to simplify any further than the original question. Help?
Thanks in advance.
Click here to see answer by Theo(547)

Question 230622: How do I solve for a varaible with a decimal exponent?
x^0.725 = 41.494
Click here to see answer by jsmallt9(511)

Question 230266: b=+-0.5^1/5730
b=0.999879
I don't understand how they got 0.999879 from the first line.

Click here to see answer by rfer(2588)

Question 230298: how do make x the subject in this equation:

y=25-e^x
Click here to see answer by stanbon(25959)

Question 229893: i need help with this one too: If (x-2) is a factor of 3x^3 -kx^2 +(k+1)x-2; find the value of k.
Click here to see answer by ankor@dixie-net.com(6567)

Question 228453: Please help this is due tomorrow and each time i try i get an answer of 4 hours, which is to large of a number.
The question is Newton determined that when a warm object is placed in colder sutroundings or a cold object is placed in warmer surroundings, then the difference between the two temperatures decreases in an exponential manner. If Dsub0 is the initial difference in temperature, then the difference at time t is given by the formula below. Given this a turkey with a temperature of 40F is moved to a 350F oven. After 4 hours, the internal temp of the turkey is 170F. If the turkey is done when its temp reaches 185F, how much longer must it cook.
Dsub0 = D0e^et, k is a constant, t=time hours
Click here to see answer by Theo(547)

Question 228323: Please help!
If log b < 0, what can you say about b?
Thanks so much!
Click here to see answer by Theo(547)

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(6567)

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(6567)

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(3526)

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(3526)

Question 224109: decide whether True or False
log6 (7) + log6 (1/7)
Click here to see answer by rapaljer(3526)

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(511)

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(25959)

Question 223459: how do you solve 5y^4-7=73
Click here to see answer by MathTherapy(336)

Question 223459: how do you solve 5y^4-7=73
Click here to see answer by Earlsdon(4871)

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(5863)

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(511)

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(25959)

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(28)

Question 221631: How would I solve the problem;
(6 x 10^-4)(2.5 x 10^6)?
Click here to see answer by sofiyac(28)

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(2979)

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

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(2413)

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