8. Solve for x log4 (x + 3) - log4 (x-1) = 1
First express the left side as a single log.
Now change to exponential form
Copy down the original equation except that wherever you see an x, copy down the solution in parentheses.
Find common denominators to add and subtract the fractions inside the parentheses.
Each term is the log of a quotient
The logs of 3 cancel
16 and 4 are both powers of 4 so this becomes