Question

($(\sqrt[3]{5}. \sqrt[3]{2}) ^{x}=100$

$( \frac{8}{125}) ^{x}= \frac{16}{625}$

Answer 1

$(\sqrt[3]5\cdot\sqrt[3]2)^x=100 \\ \\ (\sqrt[3]{10})^x=10^2 \\ \\ 10^{\frac{x}{3}}=10^2 \rightarrow \frac{x}{3}=2 \\ \\ \boxed{x=6} \\ \\ (\frac{8}{125})^x=\frac{16}{625} \\ \\ (\frac{2}{5})^{3x}=(\frac{2}{5})^4 \rightarrow 3x=4 \\ \\ \boxed{x=\frac{4}{3}}$