Question 1114456
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<pre>
The right side is 


{{{2*(16^12)}}} + {{{2*(8^16)}}} = {{{2*2^(4*12)}}} + {{{2*2^(3*16)}}} = {{{2*2^48}}} + {{{2*2^48}}} = {{{2^49}}} + {{{2^49}}} = {{{2^50}}}.


Therefore, your equation is


{{{2^x}}} = {{{2^50}}},


and it has the solution x= 50.
</pre>

Solved.