### Home > PC > Chapter 6 > Lesson 6.4.1 > Problem6-148

6-148.
1. Solve the following equations for k. Homework Help ✎

1. 5 · 3(x +2) = k · 3x

2. 6 · 2(x+k) = 24 · 2x

Divide both sides by 3x and both sides by 5.

$\frac{3^{(x+2)}}{3^{x}}=\frac{k}{5}$

Rewrite the exponents with one base.

$3^{(x+2)-x}=\frac{k}{5}$

Simplify.

$9=\frac{k}{5}$

k = 45

Follow the same thinking process as in (a).