# Reach for the Summit - M-S1-A2

Algebra Level 3

Given that $a,b \in \mathbb R,\ a>0$, if $4^a-3a^b=16,\ \log_{2}a=\dfrac{a+1}{b}$, find the sum of all possible value(s) of $a^b$.

Reach for the Summit problem set - Mathematics

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