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Name: ___Math Worksheets _____ Date: _____ Created by: Effortless Math Education www.EffortlessMath.com 202 Evaluating Logarithms Evaluate each logarithm. 1) H K 2 4= 2) H K 2 8= 3) H K 3 27= 4) H K 3 9= 5) H K 4 16= 6) H K 2 32= 7) H K 28 64= H K 8) H K 2 1
Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Evaluating Logarithms Name_____ Date_____ Period____ Evaluate each expression. 1) log 2) log 3) log 4) log 5) log 6) log 7) log 8) log 9) log 10) log 11) log 12) log Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com
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.
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. .
LOGARITHMS PRACTICE SIMPLIFYING EXPRESSIONS. single logarithm. log 2 7 + log 2 2. log 2 20 − log 2 4. 3log 5 2 + log 5 8. 2log 6 8 − 5log 6 2. log 10 8 + log 10 5 − log 10 0.5. log 2 14 , log 2 5 , log 5 64 , log 6 2 , log 10 80. single logarithm.
In this section we will evaluate logarithm functions and work on converting their values and determining domains of these functions. These worksheets explain how to solve for various log based expressions.
Logarithms and Logarithmic 6.3 Functions. Essential Question. What are some of the characteristics of the graph of a logarithmic function? Every exponential function of the form f (x) bx, where b is a positive real number. = other than 1, has an inverse function that you can denote by g(x) = logb x.
