# How do you solve # [(5^(2x+1)) - 2] * [(5^(x+1)) + 5] = 0#?

##### 1 Answer

Aug 9, 2015

This equation has one solution

#### Explanation:

On left side there is a multiplication of 2 expressions, so it is zero, when any of those expressions is:

The second equation has no solutions, because exponential functions do not have negative values.

To solve the first equation we have to change 2 to a power of 5.

Now, when we have the same base on both sides we can skip it to get