# How do you solve #2^ { 2x + 5} = ( \frac { 1} { 4} ) ^ { x - 1}#?

##### 1 Answer

May 29, 2018

Change the bases to be equal to each other and solve for the exponents as if it's a linear equation.

#### Explanation:

2 can be written as an exponent with a base of

This means that we can rewrite the left side of the equation as

Now, going back to the original problem, it becomes apparent that

This can be solved as a linear equation: