# How do you solve #ln (x+5) = ln (x-1) - ln (x+1)#?

##### 1 Answer

First use the fact that the difference of two logs is the log of the quotient to write

Solving logarithmic equations often results in extraneous solutions, so it's always good to check the answers in the **original** equation. In fact, in this case, **neither** of these answers works in the **original** equation because the domain of the natural logarithm function is the set of all positive real numbers. (These values of