3.3 Properties of Logarithms 2015. HWQ Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Find the Domain, Vertical Asymptote, and x-intercept.

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Presentation transcript:

3.3 Properties of Logarithms 2015

HWQ Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Find the Domain, Vertical Asymptote, and x-intercept. Sketch a graph:

Change of base Formula 1) log ) log 2 12 Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 3 = = To change the base, take the log of the tall over the log of the small.

1. If then Properties of Logarithms

Use properties of logarithms to expand each expression: 1) 2) 3) Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 5

Solve for x. a. b. Simplify. c.

Example: Use the product property to verify:

Use the properties of logarithms to rewrite and simplify the logarithmic expression. Example

Use the properties of logarithms to expand each expression: a. b. Example

Use the properties of logarithms to expand: Example

Use the properties of logarithms to condense (write as a single log): Examples

Use the properties of logarithms to condense (write as a single log): Examples

Use the properties of logarithms to condense (write as a single log): Examples

Use the properties of logarithms to condense (write as a single log): Examples

Use the properties of logarithms to condense (write as a single log): Examples

Day 1: Pg. 203: 9-41 odd, odd, 67, 79 Day 2: Properties of logs WS And optional: pg. 239 #32-36, 41-44, and Homework

HWQ 9/19 Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 17 Condense the expression to the logarithm of a single quantity: