Question

6^(1/4)/36^(-x/2)=1
Solve to find x

Answer 1

`\cfrac{6^{(1)/(4)}}{36^{-(x)/(2)}}=1\implies 6^{(1)/(4)}=36^{-(x)/(2)}\implies 6^{(1)/(4)}=(6^2)^{-(x)/(2)}\implies 6^{(1)/(4)}=6^{-2\cdot (x)/(2)} \\\\\\ \stackrel{\textit{same base, exponents must be the same}}{6^{(1)/(4)}=6^(-x)\implies \cfrac{1}{4}=-x}\implies -\cfrac{1}{4}=x`