### Home > PC > Chapter 3 > Lesson 3.2.1 > Problem3-63

3-63.

Solve each equation without using logarithms.

1. $2^{x} = 8^{(x−1)}$

1. Get a common base.
2. Set the exponents $=$ to each other.
3. Solve for the variable.

2. $4^{−x} = 8^{(x+2)}$

1. Get a common base.
2. Set the exponents $=$ to each other.
3. Solve for the variable.

3. $7 ^ { ( \frac { 1 } { 2 } x + 3 ) } = 1$

$1 = 7^{0}$