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
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.
solve simple equations requiring the use of logarithms. Why do we study logarithms ? What is a logarithm ? 4. Exercises. 5. The first law of logarithms. 6. The second law of logarithms. 7. The third law of logarithms. 8. 9. 10. 11. 12. 13. 14. 1. Introduction. In this unit we are going to be looking at logarithms.
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
Rewrite each equation in logarithmic form. Parts (b) and (c) of Example 1 illustrate two special logarithm values that you should learn to recognize. Let b be a positive real number such that b 1. logb 1 0 because b0 1.
The following examples show how to expand logarithmic expressions using each of the rules above. Use the Power Rule for Logarithms. Since 7a is the product of 7 and a, you can write 7a as 7 • a. Use the Product Rule for Logarithms. 5 3 log = log511 – log53 Use the Quotient Rule for Logarithms.
Rewrite each equation in logarithmic form. Evaluate each expression. Sketch the graph and identify the domain and range of each. 1. a. Evaluate log27. b. Evaluate . 2. Most tornadoes last less than an hour and travel less than 20 miles.
