You may want to review combining logarithms and solving easy equations with them first.

Now, we can solve more complicated equations with logarithms. For
example, suppose you have to solve −log_{2} 5 =
log_{2} (−*x* + 3). Since
−log_{2} 5 = log_{2}
(1 ⁄ 5), we have 1 ⁄ 5 =
−*x* + 3. This is just a linear equation, so the answer
is *x* = 14 ⁄ 5.