Question 1016259
<pre>  
{{{ 5^(2x) * 5^(x+1) }}}{{{""=""}}}{{{ 25 }}}

Write 25 as a power of 5:

{{{ 5^(2x) * 5^(x+1) }}}{{{""=""}}}{{{ 5^2 }}}

Add the exponents of 5 on the left

{{{ 5^((2x)+(x+1)) }}}{{{""=""}}}{{{ 5^2 }}}

The bases are the same positive number other than 1,
therefore the exponents are equal:

{{{ (2x)+(x+1) }}}{{{""=""}}}{{{ 2 }}}

{{{2x+x+1 }}}{{{""=""}}}{{{ 2 }}}

{{{3x+1}}}{{{""=""}}}{{{2}}}

{{{3x}}}{{{""=""}}}{{{1}}}

{{{x}}}{{{""=""}}}{{{1/3}}} 

Edwin</pre>