Warm Up 4.4, Day 1 Graph the logarithmic function. Begin by describing the shifts. Then state the domain, range, and asymptote. Domain: ________________.

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Presentation transcript:

Warm Up 4.4, Day 1 Graph the logarithmic function. Begin by describing the shifts. Then state the domain, range, and asymptote. Domain: ________________ Range: ________________ Asymptote: ________________

APPLY PROPERTIES OF LOGARITHMS (S5.5) Unit 4: Analyze Exponential and Logarithmic Functions Target 4.4, Day 1 APPLY PROPERTIES OF LOGARITHMS (S5.5)

Because logarithms are inverses of exponential functions, the properties that apply to exponents also apply to logs. Product Property: Quotient Property: Power Property:

We can use the properties of logarithms to expand or condense an expression.

Condense.

The Change of Base Formula is a very useful method for evaluating any logarithm. Evaluate.

Logarithms can be used to determine sound intensity I (in watts per square meter) and decibel levels (dB). L(I) = loudness (dB) I = intensity (in W/m2) I0 = the threshold of human hearing (≈ 10-12) A crying baby has a sound intensity of about 3.2 x 102 W/m2. Find the decibel level.

Warm Up 4.4, Day 2 Evaluate. Expand. Condense. www.jasonmyhre.weebly.com Warm Up 4.4, Day 2 Evaluate. Expand. Condense.

APPLY PROPERTIES OF LOGARITHMS (S5.5) Unit 4: Analyze Exponential and Logarithmic Functions Target 4.4, Day 2 APPLY PROPERTIES OF LOGARITHMS (S5.5)

Use the properties of logarithms to find the exact value of the expression.

Write each expression as a sum and/or difference of logarithms Write each expression as a sum and/or difference of logarithms. Express powers as factors.

Write each expression as a single logarithm.