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 −log2 5 = log2 (−x + 3). Since −log2 5 = log2 (1 ⁄ 5), we have 1 ⁄ 5 = −x + 3. This is just a linear equation, so the answer is x = 14 ⁄ 5.