Αποτελέσματα Αναζήτησης
Question 1 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
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.
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) = __________.
Express the equation in exponential form and solve the resulting exponential equation. Simplify the expressions in the equation by using the laws of logarithms. Represent the sums or differences of logs as single logarithms. Square all logarithmic expressions and solve the resulting quadratic equation. ____ 13.
After reading this text and / or viewing the video tutorial on this topic you should be able to: explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms.
Free 29 question Worksheet(pdf) with answer key on the properties of logarithms (product,quotient and power rules)
Properties of Logarithms. Expand each logarithm. 1) log ( 6 ⋅ 11) ( 11)5 6. 3) log. 24. 5) log. 7) log x 6 y. 4 u. 9) log. v. 11) log. 3. x ⋅ y ⋅ z. 2) log ( 5 ⋅ 3) 4) log ( 3 ⋅ 23) 6) log ( 6. 8) log ( a ⋅ b )2. 10) log x y 5. 12) log ( x ⋅ y ⋅ z 2)
