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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
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
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. .
Evaluate the logarithm without using a calculator. Show work to support your answer. Circle the points which are on the graph of the given logarithmic functions. Show your work.
Display your logarithmic exploits with our printable worksheets on evaluating logarithmic expressions! This collection is packed full of expressions with logs of base 10, e, or any number; the task is performing operations on logs with same and different bases.
Question 6 Simplify each of the following logarithmic expressions, giving the final answer as a number not involving a logarithm. a) log 40 log 52 2− b) log 4 log 96 6+ c) log log log2 2 2(5 5) (4) ( ) 2 3 3 + − d) 3 3( ) ( ) 2 2 1 1 4log log8 3 27 2 9 + e) 2 2( ) ( ) 3 3 1 4log 2log 9 2 9 4 − 3 , 2 , 1 , −2 , 5
Characteristics of Graphs of Logarithmic Functions. Work with a partner. Use the graphs you sketched in Exploration 2 to determine the domain, range, x-intercept, and asymptote of the graph of g(x) logb x, where b is a. =.
