Question

solve
$x {52}^{?}$
​

Answer 1

$4^x-4^{x-1}=24\\4^x-4^x\cdot4^{-1}=24\\\\4^x\left(1-\dfrac{1}{4}\right)=24\\\\4^x\cdot\dfrac{3}{4}=24\\\\4^x=32\\2^{2x}=2^5\\2x=5\\\\x=\dfrac{5}{2}$