SOLUTION: find the values of the following without using calculators. (a)log x^3 / log cube root x where (x is not 1) I know the answer for this question, but I'm not sure my wa

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Question 1183438: find the values of the following without using calculators.
(a)log x^3 / log cube root x where (x is not 1)
I know the answer for this question, but I'm not sure my way of doing it is right. Therefore I need someone nice to help me check.
ok after doing some stuff I ended up with log x cube divide by log x to the power of a fraction 1/3. To get 9 the answer I simply "cancel out" the "common factor" log x and proceed with 3/1/3 (as a fraction) = 9

Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.
find the values of the following without using calculators.
(a)log x^3 / log cube root x where (x is not 1)
~~~~~~~~~~~~~~~

The numerator is   = 3*log(x).

The denominator is   =  = .

Now make your fraction and cancel the common factor log(x) in the numerator and the denominator.


You will get   = 9.      ANSWER

Solved, answered and explained.



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