Question

Solve x please need help

Answer 1

`32^{(1)/(25)}* 2^x~~ = ~~8^{(1)/(4)}\implies (2^5)^{(1)/(25)}* 2^x~~ = (2^3)^{(1)/(4)}\implies 2^{(1)/(5)}* 2^x=2^{(3)/(4)} \\\\\\ 2^{(1)/(5)+x}=2^{(3)/(4)}\implies \cfrac{1}{5}+x=\cfrac{3}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{1}{5}+x \right)=20\left( \cfrac{3}{4} \right)} \\\\\\ 4+20x=15\implies 20x=11\implies x=\cfrac{11}{20}`