1. 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: ________________

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

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

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

5. Condense.

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

7. 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.

8. Warm Up 4.4, Day 2 Evaluate. Expand. Condense.
Warm Up 4.4, Day 2
Evaluate.
Expand.
Condense.

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

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

11. 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.

12. Write each expression as a single logarithm.