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### High School Mathematics3.15 Simplifying the Logarithms - II

 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.
 Q 1: Simplify, log (9000/343) + log (441/1000) - log (81/49).log 5log 7log 3log 2 Q 2: Simplify, log (392/121) + log (99/1960) - log (9/605).log 11log 5log 3log 7 Q 3: Simplify, log (676/369) + log (75/8281) - log (100/17787).log 5log 13log 3log 11 Q 4: Simplify, log (162/343) +2log (7/9) - log (1/7).log 3log 2log 5log 7 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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