Question 62091
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{{{4^((2x+1)) = 2^((3x+6))}}}
{{{(2^2)^((2x+1)) = 2^((3x+6))}}} Recall: {{{2(2x+1) = 4x+2}}}
{{{2^((4x+2)) = 2^((3x+6))}}}
{{{4x+2 = 3x+6}}}
{{{x = 4}}}

Check:
{{{4^((2*4+1)) = 4^9}}} = 262144
{{{2^((3*4+6)) = 2^18}}} = 262144