Question 1195384
<pre>
{{{12^x*24^y}}}{{{""=""}}}{{{216}}}

{{{(2^2*3)^x*(2^3*3)^y}}}{{{""=""}}}{{{2^3*3^3}}}

{{{2^(2x)*3^x*2^(3y)*3^y}}}{{{""=""}}}{{{2^3*3^3}}}

Equate exponents of 2

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

Equate exponents of 3

{{{x+y}}}{{{""=""}}}{{{3}}}

Solve system:

{{{system(2x+3y=3,x+y=3)}}}

You finish.

Edwin</pre>