
Example: Find the value of log_{8}512. Solution: Method  I: Let log_{8}512 = x By definition of logarithm 8^{x} = 512 8^{x} = 8 * 8 * 8 ^{x} = 8^{3} Bases are equal so indices are also equal. Therefore, x = 3 i.e., log_{8}512 = 3.
Method  II: Directions: Solve the following problems. Also write at least ten examples of your own. 