Use properties of logarithms

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Presentation transcript:

Use properties of logarithms EXAMPLE 1 Use properties of logarithms 3 4 log Use 0.792 and 7 1.404 to evaluate the logarithm. a. 4 log 3 7 = 3 – 4 log 7 Quotient property 0.792 1.404 – Use the given values of 3 4 log 7. and = –0.612 Simplify. b. 4 log 21 = 4 log (3 7) Write 21 as 3 7. = 3 4 log + 7 Product property 0.792 1.404 + Use the given values of 3 4 log 7. and = 2.196 Simplify.

Use properties of logarithms EXAMPLE 1 Use properties of logarithms 3 4 log Use 0.792 and 7 1.404 to evaluate the logarithm. c. 4 log 49 72 = 4 log Write 49 as 72 4 log = 2 7 Power property 2(1.404) Use the given value of 7. 4 log = 2.808 Simplify.

GUIDED PRACTICE for Example 1 5 6 log Use 0.898 and 8 1.161 to evaluate the logarithm. 1. 5 8 6 log = 5 – 6 log 8 Quotient property 0.898 1.161 – Use the given values of 5 6 log 8. and = –0.263 Simplify. 2. 6 log 40 = 6 log (8 5) Write 40 as 8 5. = 8 6 log + 5 Product property 1.161 0.898 + Use the given values of 5 6 log 8. and = 2.059 Simplify.

GUIDED PRACTICE for Example 1 5 6 log Use 0.898 and 8 1.161 to evaluate the logarithm. 6 log 3. 64 82 = 6 log Write 64 as 82 = 2 8 6 log Power property 2(1.161) Use the given value of 8. 6 log = 2.322 Simplify. 4. 6 log 125 53 = 6 log Write 125 as 53 = 3 5 6 log Power property 3(0.898) Use the given value of 5. 6 log = 2.694 Simplify.