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### High School Mathematics3.21 Problems on Logarithms - I

 Example: Prove that, log 35 = log 7 + log 5. Solution: Given that, R.H.S. = log 35 take the factors of 35, that is 35 = 7 * 5 = log (7*5) = log 7 + log 5 [Since log (ab) = log a + log b] = LHS. Therefore, RHS = LHS. Directions: Prove the following problems. Also write at least ten examples of your own. 1. Prove that, log 22 = log 11 + log 2. 2. Prove that, log 15 = log 5 + log 3. 3. Prove that, log 105 = log 7 + log 5 + log 3. 4. Prove that, log 66 = log 11 + log 3 + log 2. 5. Prove that, log 110 = log 11 + log 5 + log 2. 6. Prove that, log 385 = log 11 + log 7 + log 5.

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