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 261831: (5^7)^2 � (5^3)^-6 x (5^9)^-4
I got an answer of 1/5^68 and then =1/3.38813
not sure if i am correct. i have the work too.
Click here to see answer by Alan3354(69443)

Question 262162: simplify log4 64
Click here to see answer by palanisamy(496)

Question 262161: express log3 6 + log3 4.5 as a single log.
Click here to see answer by palanisamy(496)

Question 262160: express log3 27^-3 as a product.
Click here to see answer by nerdybill(7384)

Question 262247: I am not understanding how to express each power asa radical,then evaluate. (-7776)^2/5
I go over other examples but not understanding how they get the last bit of the answer on the calculator.
They have as an example..... (-243)^1/5=5√-243 = -3
not sure how they got =-3? very stumped....
Click here to see answer by Alan3354(69443)

Question 262261: express each power asa radical,then evaluate.
4096^-5/6
I got so far =1/4096^5/6
=1_
(6√4096)^5
am i close?
Click here to see answer by drk(1908)

Question 262306: write as a single power,express answers using positive exponents.
11^7 x 11^8 � 11^20
= 11^7 + 8 - 20
=11^ -5
=1/11^5
is this correct?
Click here to see answer by Edwin McCravy(20059)

Question 262330: 3^logx = 3x solve for x
Click here to see answer by Edwin McCravy(20059)

Question 262519: Solve the equation 3log[base5]x - log[base5]4 = log[base5]16.
Solve the equation 1/3log[base7]64+1/2log[base7]121=log[base7]x
Find log[base3]25 given that log[base3]5 = 1.465
Click here to see answer by drk(1908)

Question 262571: Could you please help?! I'm trying to finish my online Algebra 2 class and the logarithm section is killing me. I cannot even begin to solve these three.
Write the equation log[base6](1/36)=-2
Evaluate the expression log[base12]12^2
Solve the equation log[base b]9=2

Click here to see answer by dabanfield(803)

Question 262579: I'm doing an online class, and I cannot figure out the answers to these four questions.
Please help if you can...
If log50 = 1.6990, what is the characteristic of log50?

Click here to see answer by richwmiller(17219)

Question 262794: I'm trying to solve for "i" in the expression:
r=(r-p*i)(1+i)^n
Click here to see answer by drk(1908)

Question 262943: In what sense do exponentials and radicals behave the same way?
Click here to see answer by Edwin McCravy(20059)

Question 263204: "Please help me solve this problems 10^x = 0.0001 and
m^7 n^2x\n^3 = m^3\m^-4 n^6"
Click here to see answer by Alan3354(69443)

Question 263527: , x<= 0
we're supposed to find the inverse of the power function, my teacher is lazy and dosnt teach us much. the answer i got was he marked it wrong...
Click here to see answer by Edwin McCravy(20059)

Question 263685: what is the answer to (243) with an exponent of 2/5
Click here to see answer by stanbon(75887)

Question 263685: what is the answer to (243) with an exponent of 2/5
Click here to see answer by richwmiller(17219)

Question 264093: express as an equivalent expression that is a single logarithm
logb5+logb9
Click here to see answer by scott8148(6628)

Question 264330: 1/4(4)^2x=4
Click here to see answer by Ruli(21)

Question 264462: what is a rational exponent?
Click here to see answer by Earlsdon(6294)

Question 264599: simplify the square root of 14 divided by the square root of 35
Click here to see answer by jim_thompson5910(35256)

Question 264604: simplify the cubed root of 625 divided by the cubed root of 25
Click here to see answer by jim_thompson5910(35256)

Question 264764: How do you simplify (g^8)^12?
Click here to see answer by jim_thompson5910(35256)

Question 264729: I need help in solving this logarithmic equation:
-4log3-9m = -4
Click here to see answer by stanbon(75887)

Question 265303: find the derivative of the function:
f(x)=3/x-1
Click here to see answer by Alan3354(69443)

Question 265306: Find the slope of the tangent line at the given value of x for questions below and then find the equation of the tangent line.
f(x)=3x^2+x- 2 at x = 1

f(x)=(2x^2+1)(x - 1) at x = 3

Click here to see answer by Alan3354(69443)

Question 265533: how do you graph: f(x)= (1/2)^x-4 and also find the transformations?
Click here to see answer by stanbon(75887)

Question 266423: (1/4)^x= 8^x-1
Click here to see answer by Alan3354(69443)

Question 266553: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph State the equation of the line asymptotic to the graph (if any).
y=-(1/5)^x
Click here to see answer by drk(1908)

Question 266682: How would you sold this equation:
f(x) divided by g(x)
f(x) = 4x^2 (four x to the second power);
g(x) = -3x^ 4/3 (negative 3x to the four thirds power)
Click here to see answer by drk(1908)

Question 266685: Write the expression as a power of x.

Click here to see answer by drk(1908)

Question 266771: 8^2x/4^(x-1)= 2^(x+1)
Help please! Someone told me about Logarithms but i havent learned about them yet
Click here to see answer by drk(1908)

Question 266900: if {x^2-3x-40} divided by {x+5}
x^2-3x-40 divided by x+5
x^2-5x
-2x-40
-2x- 10
=30
x-2+30
x-30
I keep trying the problem to see were i made my mistake and i still can't seem to find were the error is?

Click here to see answer by jim_thompson5910(35256)

Question 266908: Simplify each number.
8^2/3 I know you puy parenthesis (8 and a fraction but I don't know what fraction.
Click here to see answer by jim_thompson5910(35256)

Question 266929: Simplify each number. (-32)^6/5
Can you please explain each step. Thanks!!
Click here to see answer by JBarnum(2146)

Question 267560: At 2pm the number of bacteria in a colony was 100, by 4pm it was 4000. Write an exponential function to model the population y of bacteria x hours after 2pm.
Please help
Click here to see answer by ankor@dixie-net.com(22740)

Question 267864: i dont understand how i would get an answer for 12x8/4x4 i'm trying to understand how to get the answer
Click here to see answer by stanbon(75887)

Question 267868: y= 2(1/2)^x
Click here to see answer by stanbon(75887)

Question 267982: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph State the equation of the line asymptotic to the graph (if any). y=-(1/5)^x
How do I show how I come up with the numbers?
Click here to see answer by richwmiller(17219)

Question 267905: I am having difficulty on the steps to solve this equation:
e^-x = (e^4)^x+3
Any help would be greatly appreciated!
Click here to see answer by ankor@dixie-net.com(22740)

Question 268474: i need help with polynomials
it says to state the degree and leading coefficient of each polynomial in one variable. if it is not a polynomial in one variable,explain why.
Q1. a+8
it also says for each graph describe the end behavior, determine whether it represent an odd-degree or an even-degree function, and state the number of real zeroes. and then it gives me a graph

Click here to see answer by stanbon(75887)

Question 268479: solve algebraically 5^(2x-9)=1/625
Click here to see answer by Alan3354(69443)

Question 268499: Solve algebraically: ln3+ln(x-6)=ln(x+5)
Click here to see answer by ankor@dixie-net.com(22740)

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