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  1. Given that log 2 = x, log 3 = y and log 7 = z, express the following expressions in terms of x, y, and z. (1) log 12 (2) log 200. 14. (3) log (4) log 0:3. 3. (5) log 1:5 (6) log 10:5 6000. (7) log 15 (8) log. 7.

  2. Simplify each of the following logarithmic expressions, giving the final answer as a number not involving a logarithm. a) log 4 log 0.52 2− b) log 10 log 52 2− c) 2log 4 log 82 2+ d) 2log 5 2log 0.2520 20− e) 3log 8 3log 324 24+ 3 , 1 , 7 , 2 , 3

  3. •explain what is meant by a logarithm •state and use the laws of logarithms •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 ...

  4. Expand each logarithm. 1) ln (85 7) 4 2) ln (ca × b) 3) ln (uv6) 5 4) ln (x × y × z6) Condense each expression to a single logarithm. 5) 25ln5 - 5ln116) 5lnx + 6lny 7) ln5 2 + ln6 2 + ln7 2 8) 20lna - 4lnb Use a calculator to approximate each to the nearest thousandth. 9) ln39 10) ln2.2 11) ln21 12) ln3.4 Solve each equation.Round your final ...

  5. 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) = __________.

  6. Logarithms Study Development Worksheet Example Simplify the following: ln(12)−ln(10) Answer Using the log laws, we know that ln(12)−ln(10)=𝑙 (12 10)=𝑙 (6 5)=𝑙 (1.2)

  7. Free 29 question Worksheet (pdf) with answer key on the properties of logarithms (product,quotient and power rules)

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