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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
Follow these steps to evaluate logarithms: log b (x), identify the base (b) and the argument (x). The logarithm log b (x) is the exponent to which the base (b) must be raised to obtain the argument ( x). In other words: Solve for y by writing x in terms of b y. Have a look at this video if you need to review how to evaluate logs.
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
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)
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
Find the value of y. 2. Evaluate. 3. Write the following expressions in terms of logs of x, y and z. 4. Write the following equalities in exponential form. 5. Write the following equalities in logarithmic form. 6. True or False? 7. Solve the following logarithmic equations. 8. Prove the following statements. 9.
