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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 ...
The following examples show how to expand logarithmic expressions using each of the rules above. 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.
Free 29 question Worksheet (pdf) with answer key on the properties of logarithms (product,quotient and power rules)
•solve simple equations requiring the use of logarithms. Contents 1. Introduction 2 2. Why do we study logarithms ? 2 3. What is a logarithm ? if x = an then log a x = n 3 4. Exercises 4 5. The first law of logarithms log a xy = log a x+log a y 4 6. The second law of logarithms log a xm = mlog a x 5 7. The third law of logarithms log a x y ...
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
log x − 6log y. 4log u − log v. log x log y log z. + +. 3 3 3. ©N N2b081h1U yKfuRtCa3 jSfodflttwkaWrUe7 LLCL8Cw.e q HAMlXlH OrCiYglhdtpsW Gr6eZs5eTrsv1e1da.4 W LM2aDd9e5 7wGi1tfh7 3IynrfTiwnbiotcef SAKlegpe8bHrNa1 023.T. log 5 + log 3. log 3 + 3log 2. 6log 6 − 6log 5.
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