### Home > PC > Chapter 5 > Lesson 5.2.1 > Problem5-54

5-54.

Solve each of the following equations.

1. $\log_{5}\left(25\right) + 4 \log_{2}\left(x\right) = \log_{3}\left(81\right)$

$\log_{5}5^{2} + 4\log_{2}x = \log_{3}3^{4}$

1. $200\left(x-3\right)^{4.2}=5000$

1. Divide both sides by $200$ first.
2. Raise both sides of the equation to the $\frac{1}{4.2}$ power.