### Home > INT1 > Chapter 3 > Lesson 3.3.3 > Problem3-136

3-136.

Solve each equation by first rewriting the expressions in each part with the same base. Refer to problem 3-132 if you need a reminder.

1. $8 ^ { x } = 2 ^ { 6 }$

• Since $8 = 2^3, (2^3)^x = 2^6$

$2^{(3x)} = 2^6$

$3x = 6$

$x = 2$

1. $9 ^ { 2 } = 3 ^ { 2 x + 1 }$

• $(3^2)^2 = 3^{2x+1}$

$x = 1.5$

1. $4 ^ { 2 x } = ( \frac { 1 } { 2 } ) ^ { x + 5 }$

• Use the same method as part (a).

$\text{Remember that }\frac{1}{2}=2^{-1}.$