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 165939: Find the derivative of the following:
f(x)=1/3x-(2x+5)^2/3
Thankyou very much.
Click here to see answer by stanbon(75887)

Question 165957: How do I find the domain of g(t) = 5^t Thank you
Click here to see answer by oscargut(2103)

Question 166196: Can anyone let me know if I'm doing this correctly?
Write in exponential form and simply
a) cube root of x^5y^5 - x^5/3y^5/3 Can this simply?
b) cube root of x^2y - x^2/3y^1/3
c) cube root of a multiplied by fifth root of a - a^1/3 x a^1/5 = a^8/15
THannks!!
Click here to see answer by jim_thompson5910(35256)

Question 166351: Simplify the exponential expression.
x^9y^0

Click here to see answer by jim_thompson5910(35256)

Question 166450: Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x) = 2x^3 - x^2 - 12x + 6
Click here to see answer by stanbon(75887)

Question 166468: Please help me with this problem
Plot the graphs of the following functions.
2. f(x)=4^x - 3
Click here to see answer by oscargut(2103)

Question 165714: Find the domain of g(t) = 5^t
Click here to see answer by gonzo(654)

Question 166530: Solve using completing the square,
3x^2-6x=27
Click here to see answer by stanbon(75887)

Question 166732: 3+ Log(2x+5)= 2
I have tried this problem and I am not coming up with the correct answer...can you please guide me?
Click here to see answer by nerdybill(7384)

Question 166732: 3+ Log(2x+5)= 2
I have tried this problem and I am not coming up with the correct answer...can you please guide me?
Click here to see answer by vleith(2983)

Question 167362: Slove the equation.
ln(x^(2)-5)=ln(2x)+ln(x-3)
Click here to see answer by oscargut(2103)

Question 167296: Use the properties of logarithms to rewrite each expression as a single logrythm.
(logb K - logb M)- logb a

Click here to see answer by midwood_trail(310)

Question 167361: Solve the following equation. Give exact answer to and a decimal aproximation to 2 decimal places of accuracy if needed.
3^(2x)-20=3^(x)
Click here to see answer by Alan3354(69443)

Question 167438: I have three questions. I don't know how to do them. PLEASE HELP!!!
1. e^3x>=21
2. log6 6^9
3. 1n e^-3x
I have to whow my work on this worksheet.
PLEASE HELP!!!
Click here to see answer by nerdybill(7384)

Question 167477: I need lots of help with my homework. We are going over the laws of exponents. I understand most of it. Just not problems where you have to divide and the base number is larger on top than on bottom.
My problem is:
12m^8y^6
_________
-9my^4
(^=power)
Click here to see answer by nerdybill(7384)

Question 167495: My problem is:
-(4w^-3z^-5)(8w)^2
I have the answer as
(-4w^3z^5)(64w^-8)
But I'm pretty sure that is wrong.
Can you walk me through it?
Thanks so much.

Click here to see answer by Earlsdon(6294)

Question 167493: I need more help on my homework. Thanks for everything.
The ^'s are for the exponents. I'm working on Laws Of Exponents.
-27x^3(-x^7)
___________
16x^4

I'm not sure what to do in this problem.
Click here to see answer by checkley77(12844)

Question 167593: Can you please help me.
Evaluate: (log5 20^4)(log20 5^4)
I have to show my work.
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 167592: I have a word problem that I need help with. I must show my work.
1. In a certain area, the sale price of new single-family homes has increased 4.1% per year since 1992. If a house was purchased in this area in 1992 for $75,000 and the growth continues, what will be sale price in 2006? Use y=a(1+r)^t and round to the nearest cent.
Thanks
Click here to see answer by checkley77(12844)

Question 167591: Will someone please help me on these two problems. I was absent and have a test on them later today.
1. Use log5 2~0.4307 and log5 3~0.6826 to approximate the value of log5 12.
2. Express log6 19 in terms of common logarithms. Then approximate its value to four decimal places.
I must show my work. Can you please help me through these
Thanks
Click here to see answer by nerdybill(7384)

Question 167590: Can someone please help!!!
Round to four decimal places if necessary.
1. (1/5)^t-2=125
2. log4(x-9)=2
3. log4z+log4(z-3)=1
4. 3.9^m-4=10.21
I have to show my work and these I don't understand how to do.
Thanks
Click here to see answer by nerdybill(7384)

Question 167714: Thank you so much
Click here to see answer by jim_thompson5910(35256)

Question 167800: (x-4)*(x-square root of five)*(x+square root of five)
find the equation for this problem
Click here to see answer by Alan3354(69443)

Question 167821: Simplify by removing non-positive exponents: x^-1 + y^-1 / x^-2 - y^-2
Click here to see answer by Alan3354(69443)

Question 167820: Simplfy by removing non-positive exponents: x to the -1 plus y to the -1 divided by x squared minus y squared.
Click here to see answer by checkley77(12844)

Question 167820: Simplfy by removing non-positive exponents: x to the -1 plus y to the -1 divided by x squared minus y squared.
Click here to see answer by nerdybill(7384)

Question 167904: Please help with this question "Express as a single logarithm and, if possible, simplity."
1. 2/5 log(a)x - 1/3 log(a) y
2. ln 2x + 3(1n x - ln y)
Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 167935: Please help me with the following:
Express as a single logarithm and, if possible, simplity.

ln 2x + 3(1n x - ln y)
Thanks
Click here to see answer by nerdybill(7384)

Question 167957: Simplify the expression.Variables represent positive real numbers. n^1/5(n^2/5-n^-1/5)
How do I complete this problem?
Click here to see answer by nerdybill(7384)

Question 167970: How do I solve for x?
Log x 1/64= -3
Click here to see answer by jim_thompson5910(35256)

Question 168634: Hi, Can you please help,
.
Solve , for "x"
.
I would like some answers quickly, so I can put it down for notes for a quiz tommorrow.
.
Thanks ahead of time, Levi
Click here to see answer by stanbon(75887)

Question 168632: Hi, Can you please help,
.
Solve , for "x"
.
Thanks ahead of time, Levi
Click here to see answer by Alan3354(69443)

Question 168654: Can you please help,
.
Can you please confirm my answer
Solve
.
I got this answer , is this true?
.
Can you please answer as soon as you can, thanks
.
Thanks ahead of time, Levi
Click here to see answer by Alan3354(69443)

Question 168681: (1/9)4x=27
using same base principle
Click here to see answer by checkley77(12844)

Question 168767: 2x
e = 8
not sure how to type it but e raised to the 2x = 8
Click here to see answer by jim_thompson5910(35256)

Question 168767: 2x
e = 8
not sure how to type it but e raised to the 2x = 8
Click here to see answer by stanbon(75887)

Question 168816: Could you please tell me if this is right?
3 log x - log z + 1/4 log y
logx^3-logz+logy1/4
= log x^3 fourth root of y/z
Click here to see answer by ankor@dixie-net.com(22740)

Question 168988: can somebody help me evaluate this expression:
Click here to see answer by Alan3354(69443)

Question 168986: can somebody help me solve this equation:
Click here to see answer by Alan3354(69443)

Question 168996: can somebody help me solve this equation:
Click here to see answer by Alan3354(69443)

Question 169003: can somebody help me solve this equation
Click here to see answer by Alan3354(69443)

Question 169003: can somebody help me solve this equation
Click here to see answer by Earlsdon(6294)

Question 169002: can somebody help me solve this equation:
Click here to see answer by Electrified_Levi(103)

Question 169168: Please help me with:
Given that log(a) 16 = 1.7227 and log(a) 3=0.6826 find log(a)48?
all the "a" are subscript.
Thanks

Click here to see answer by Alan3354(69443)

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