Question 872836
Solve the following equations for x:

{{{ 3^( log ( 5, x))^2 = 3^( 12 + log (5, x)) }}}
<pre>
Assuming the problem is: {{{ 3^( log ( 5, x^2)) = 3^( 12 + log (5, x)) }}}, with the bases being the same, their exponents are equal
Thus, {{{log(5, x^2) = 12 + log(5, x)}}}
{{{2log(5, x) = 12 + log(5, x)}}}
{{{2log(5, x) - log(5, x) = 12}}}
{{{log(5, x) = 12}}} 
{{{highlight_green(x = 5^12)}}}
You can do the check!! 
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