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8. Prove the following statements. (1) logp b x = 2log x (2) log p1 b p x = log x (3) log 4 x2 = log p x 9. Given that log2 = x, log3 = y and log7 = z, express the following expressions
Expand the following logarithms. Use either the power rule, product rule or quotient rule. 1. log2(95) = __________. 3. log. 19 . 5 2 = __________. 5. log3(xy) = __________. 7. log3(5y) = __________. 2. log2(21) = __________.
Rules of Logarithms. loga x = y () ay = x. aloga M = M. loga a = 1. log 1 = 0. loga Mr = r loga M. log a(M N) = log M + log. N. log a(M ) = log M.
Enjoy these free sheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key. Logarithmic Equations Worksheet. Properties of Logarithms Worksheet (mixed worksheet on all 3 properties below)
Free 29 question Worksheet (pdf) with answer key on the properties of logarithms (product,quotient and power rules)
LOGARITHMS PRACTICE SIMPLIFYING EXPRESSIONS. single logarithm. log 2 7 + log 2 2. log 2 20 − log 2 4. 3log 5 2 + log 5 8. 2log 6 8 − 5log 6 2. log 10 8 + log 10 5 − log 10 0.5. log 2 14 , log 2 5 , log 5 64 , log 6 2 , log 10 80. single logarithm.
Direction: Solve each logarithmic equations. Check your solutions to exclude extraneous answers. Show all your answer in the space provided.
