Change '$8$' and '$4$' to '$2$' raised to a power. Then set the exponents equal to each other and solve.

Divide both sides by $200$ before taking the log of both sides and bringing the '$x$' down.

Rewrite the equation in exponential form.

Change '$1.5$' to$\frac{3}{2}$. Then raise both sides to the power of  $\frac{2}{3}$ to undo.