Question 1102961
<br>
Solving the equation is rather easy, since we have log base 6 on both sides.<br>
We get {{{x^4=64}}}, so your answer {{{64^(1/4)}}} is valid.<br>
However, it can be simplified in many ways, without resorting to an irrational approximation obtained with a calculator.<br>
{{{64^(1/4) = (2^6)^(1/4) = 2^(6/4) = 2^(3/2) = 2*sqrt(2)}}}<br>
All of those forms are equivalent.  In most situations either {{{2^(3/2)}}} or {{{2*sqrt(2)}}} would be considered the best forms.