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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 = y (4) log 2 1 8 = y (5) log
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
Worksheet by Kuta Software LLC Algebra 2 8.7 Solving Natural Log Equations ... 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 ...
1. Introduction. In this unit we are going to be looking at logarithms. However, before we can deal with logarithms we need to revise indices. This is because logarithms and indices are closely related, and in order to understand logarithms a good knowledge of indices is required.
log . . . = logbX – logbY. logb(XY) = logbX + logbY Power Rule for Logarithms. Quotient Rule for Logarithms. Product Rule for Logarithms. The following examples show how to expand logarithmic expressions using each of the rules above.
Logarithmic Equations. Version 1. Name: ________________________________. Date: _____________. Score: ________________. Direction: Solve each logarithmic equations. Check your solutions to exclude extraneous answers. Show all your answer in the space provided. log x .
Logs practice. [48 marks] 1. Solve the equation 2 ln x = ln 9 + 4 . Give your answer in the form. x = peq where p, q ∈ Z+ . [5 marks] 3. Solve the equation log3 √x = 1 + log3(4x3) , where x > 0 . 2log23. [5 marks] ( )= log ( − 4) > 4 > 0. Let f(x)= a log3(x − 4) , for x > 4 , where a > 0 . Point A(13,7) lies on the graph of f . 3a.
