Question 717220
<pre>
log(base x)(1/4) = (-2/3)

        {{{log (x, (1/4)) = (- 2/3)}}}
          {{{matrix(2,1, " ", x^(- 2/3) = 1/4)}}} --------- Converting to EXPONENTIAL form
  {{{matrix(2,1, " ", x^((- 2/3)(- 3/2)) = (1/4)^(- 3/2))}}} -- RAISing each side to the NEGATIVE reciprocal-exponent on x (to the {{{(- 3/2)^(th)}}} power)
{{{matrix(2,1, " ", x^(cross((- 2/3))cross((- 3/2))) = (1/4)^(- 3/2))}}}
              {{{x^1 = (sqrt(1/4))^(- 3)}}}
               {{{highlight(x = (1/2)^(- 3) = (2/1)^3 = 2^3 = 8)}}}</pre>