# How do you solve #log_b(x - 1) + log_b(x + 2) = log_b(8 - 2x)#?

##### 1 Answer

#### Explanation:

Notice that all the logs are of the same base!

First of all

Therefore

We can remove the logs since both sides are logarithms of the same base.

This is a simple quadratic equation.

This can be solved by completing the square (or by using the quadratic formula)

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However, since you can't take the logarithm of a negative number, x cannot be less than 0. Therefore