# How do you solve #ln ( x - 1) + ln x - ln ( x^2 + x - 2 ) = 0#?

##### 1 Answer

Dec 12, 2015

Use the rule which states that the sum of two logarithms is the logarithm of the product, and that the difference of two logarithm is the logarithm of the ratio.

#### Explanation:

For the first rule, you have that

For the second rule, you have that

This expression can be further simplified, since the solutions of

are

And so the final answer is