### Home > CCA2 > Chapter 10 > Lesson 10.3.1 > Problem10-162

10-162.

Solve each equation below.

1. $2^{(x-1)} = 64$

$2^? = 64$

1. $9^3 = 27^{(2x - 1)}$

Change the left side of the equation to:

$9^3 = (3^2)^3 = 3^6$

Change the right side of the equation to a power of $3$, also.

1. $x^6 = 29$

How can you 'undo' a $6$th power?

1. $6^x = 29$

Since the $x$ is in the exponent, you will need to take the log of both sides.