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Vanier College Sec V Mathematics Department of Mathematics 201-015-50 Worksheet: Logarithmic Function 1. Find the value of y. (1) log 5 25 = y (2) log 3 1 = y (3) log 16 4 ... 4 4 (3) log 7 7 3 (4) blog b 3 (3) log 25 5 3 (4) 16log 4 8 3. Write the following expressions in terms of logs of x, y and z. (1) logx2y (2) log x3y2 z (3) log p x 3 p ...
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
Free 29 question Worksheet (pdf) with answer key on the properties of logarithms (product,quotient and power rules)
Logarithms. The mathematics of logarithms and exponentials occurs naturally in many branches of science. It is very important in solving problems related to growth and decay. The growth and decay may be that of a plant or a population, a crystalline structure or money in the bank.
4 Free worksheets with answer keys on logarithms. Each one has model problems worked out step by step, practice problems and challenge proglems
Example 1. Expand log2493 . log2493 = 3 • log249 . The answer is 3 • log249. Use the Power Rule for Logarithms. Example 2. Expand log3(7a) log3(7a) = log3(7 • a) = log37 + log3a. The answer is log37 + log3a. Since 7a is the product of 7 and a, you can write 7a as 7 • a. Use the Product Rule for Logarithms. Example 3. 11 . Expand log. .
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