Solve the following equation: $2^{x+1}=4^{x-3}$

Solve the following equation: $x^{\frac{-3}{4}}=\frac{1}{8}$

Solve the equation: $(x-1{)}^{\frac{2}{3}}=25$

Solve the equation: $2^{5x+3}=8^{x+3}$

Solve the equation: ${\left(\sqrt{\frac{5}{7}}\right)}^{x-1}={\left(\frac{125}{343}\right)}^{-1}$

Solve the equation:${11}^{3-4x}={\left(\sqrt{\frac{1}{121}}\right)}^{-2}$

Solve for $x, {\left(\sqrt[3]{4}\right)}^{2x+\frac{1}{2}}=\frac{1}{32}$.

Find the value of $x$ if $\sqrt{\frac{p}{q}}={\left(\frac{q}{p}\right)}^{1-2x}$