Question 1114458
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<pre>
{{{16^x}}} = {{{2^(x+5)-2^(x+4)}}}   is the same as


{{{16^x}}} = {{{2^(x+4)*(2-1)}}}    is the same as


{{{16^x}}} = {{{2^(x+4)}}}   is the same as


{{{2^(4x)}}} = {{{2^(x+4)}}},   which implies


4x = x+4   ====>  3x = 4  ====>  x = {{{4/3}}}.
</pre>

Solved.