### Home > PC > Chapter 8 > Lesson 8.1.1 > Problem8-12

8-12.

Solve each of the following equations.

1. $8^{x} = 4^{\left(2−x\right)}$

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

1. $200\left(1.05\right)^{x} = 5000$

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

1. $\log_{3}\left(x + 5\right) = 4$

Rewrite the equation in exponential form.

1. $20m^{1.5} = 1000$

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