Question 680759
<pre>
{{{log(8,4)}}}{{{""=""}}}{{{x}}}

By the definition of logarithms, that is equivalent to 
the exponential equation:

 4 = 8<sup>x</sup>

Since 4 = 2² and 8 = 2³ we can substitute these for 4 and 8

 2<sup>2</sup> = (2<sup>3</sup>)<sup>x</sup>

Multiply expomemts on the right to remove parentheses:

 2<sup>2</sup> = 2<sup>3x</sup>

Since the base 2 is the same on both sides and is positive
and not equal to 1, we can equate the exponents:

 2 = 3x

{{{2/3}}} = x

Answer: {{{log(8,4)}}}{{{""=""}}}{{{x}}}{{{""=""}}}{{{2/3}}}

Edwin</pre>