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Example: Simplify, log (36/25) + log (1225/36) - log (98/4). Solution: log (36/25) = log 36 - log 25 = log 62 - log 52 = 2log 6 - 2log 5. log (1225/36) = log 1225 - log 36 = log (52.72) - log 62 = 2log 5 + 2log 7 - 2log 6. log (98/4) = log 98 - log 4 = log (72.2) - log 22 = 2log 7 + log 2 - 2log 2 = 2log 7 + log 2 Therefore, log (36/25) + log (1225/36) - log (98/4) = [2log 6 - 2log 5] + [2log 5 + 2log 7 - 2log 6] - [2log 7 + log 2] = 2log 6 - 2log 5 + 2log 5 + 2log 7 - 2log 6 - 2log 7 - log 2 = log 2 Directions: Solve the following problems. Also write at least ten examples of your own. |