Question 133286
{{{1/2 = 2^(a/3)}}}  Start with the given equation



{{{2^(-1) = 2^(a/3)}}} Rewrite {{{1/2}}} as {{{2^(-1) }}}



Since the bases are qual, this means that the exponents are equal


So


{{{-1=a/3}}}



{{{-3=a}}} Multiply both sides by 3 to isolate "a"



So our answer is {{{a=-3}}}