Lesson 3.3 Read: Pages 214-220 3.3 Handout #1-49 (ODD), 51-75 (EOO), 79-89 (ODD), 91-99 (EOO)

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Laws (Properties) of Logarithms

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Lesson 3.3 Read: Pages Handout #1-49 (ODD), (EOO), (ODD), (EOO)

Laws of Logarithms Objective Students will know how to rewrite logarithmic functions with a different base, and how to use properties of logarithms to evaluate, rewrite, expand, and condense logarithmic expressions.

Properties of Logarithms Product Property: Quotient Property: Power Property:

True or False???

Rewrite each of the following expressions so that your answer contains sums, differences, and/or multiples of logarithms.

Rewrite each of the following expressions as a single logarithm.

Evaluate the following using the laws of logarithms.

Use the laws of logarithms to express y as a function of x.

Change of Base Formula

Use the Change of Base Formula to write the following in terms of (a) natural logarithms and (b) common logarithms. Then use your calculator to write your answer as a decimal, correct to the nearest thousandth.

Evaluate the following.

Rewrite the following as sums so that each logarithm contains a prime number.

If,, and write each of the following logarithms in terms of A, B, and C.