Question 411335
{{{(9/4)log(2, (x))=3}}}
First, let's isolate the logarithm. Multiplying both sides by 4/9 we get:
{{{(4/9)(9/4)log(2, (x))=(4/9)3}}}
which simplifies to:
{{{log(2, (x))=4/3}}}
With the log isloated we next rewrite the equation in exponential form. In general {{{log(a, (p)) = q}}} is equivalent to {{{p = a^q}}}. Using this pattern on your equation we get:
{{{x = 2^(4/3)}}}
This may be an acceptable answer. However, a preferred form might be to rewrite this in radical form:
{{{x = root(3, 2^4)}}}
which can be simplified:
{{{x = root(3, 2^3*2)}}}
{{{x = root(3, 2^3)*root(3, 2)}}}
{{{x = 2*root(3, 2)}}}