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

##### 1 Answer

Oct 17, 2015

#### Explanation:

Use the properties of logarithms to rewrite the expression.

Rewrite both sides in terms of the base

From the properties of logarithms this becomes

Distribute

Subtract

Applying the quadratic formula

We are only interested in

The other root is negative and not in the domain of the logarithmic function.