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Simplify each of the following logarithmic expressions, giving the final answer as a single logarithm. a) log 7 log 22 2+ b) log 20 log 42 2− c) 3log 2 log 85 5+ d) 2log 8 5log 26 6− e) log 8 log 5 log 0.510 10 10+ − log 142, log 52, log 645, log 26, log 8010
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) = __________.
Students practice calculating logarithms for specific numbers like 8, 27, 81, 64, and 125, using different logarithmic bases. This variety allows students to become adept at working with logarithms beyond base 10, which is especially important for higher-level math courses like calculus.
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
Free 29 question Worksheet (pdf) with answer key on the properties of logarithms (product,quotient and power rules)
4 Free worksheets with answer keys on logarithms. Each one has model problems worked out step by step, practice problems and challenge proglems.
Free printable worksheet on the power rule with answer key of logarithms includes model problems, practice problems, and challenge problems.
