Question 731651
{{{2^x + 2^x + 2^x + 2^x = 2^k}}}

{{{(2^x + 2^x )+ (2^x + 2^x )= 2^k}}}

{{{2^(x+1) + 2^(x+1) = 2^k}}}

{{{2^(x+1+1) = 2^k}}}

{{{2^(x+2) = 2^k}}}....if base same, exponents are same too

{{{x+2 = k}}}

{{{x= k-2}}}......{{{x}}} in terms of {{{k}}}