Question 891133
<pre>
{{{4^(x+1)}}}{{{""=""}}}{{{8^(2x-3)}}}

Write {{{4}}} as {{{(2^2)}}} and {{{8}}} as {{{(2^3)}}}

{{{(2^2)^(x+1)}}}{{{""=""}}}{{{(2^3)^(2x-3)}}}

Multiply exponents:

{{{2^(2x+2)}}}{{{""=""}}}{{{2^(6x-9)}}}

Equate the exponents of 2

{{{2x+2}}}{{{""=""}}}{{{6x-9}}}

{{{-4x}}}{{{""=""}}}{{{-11}}}

{{{(-4x)/(-4)}}}{{{""=""}}}{{{(-11)/(-4)}}}

{{{x}}}{{{""=""}}}{{{11/4}}}

Edwin</pre>