Question 1183438
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find the values of the following without using calculators.
(a)log x^3 / log cube root x where (x is not 1)
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<pre>
The numerator is  {{{log((x^3))}}} = 3*log(x).

The denominator is  {{{log((root(3,x)))}}} = {{{log((x^(1/3)))}}} = {{{(1/3)*log(x)}}}.

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


You will get  {{{3/((1/3))}}} = 9.      <U>ANSWER</U>
</pre>

Solved, answered and explained.