1. 4.4 Logarithmic Functions Morgan From his TV show, what is Dexter’s last name?

2. Logarithmic Functions Let’s look back at exponential functions b > 0 and b ≠ 1 The exponent is the ___________. What would the inverse of the exponential function look like? b > 0 and b ≠ 1 The exponent is the ___________.

3. Logarithmic Functions A logarithmic function with base a is denoted: where b > 0 and b ≠ 1 and is defined by if and only if You can read this: y is the exponent of base a that gives you x. x y x y

4. Properties of Logarithmic Functions Domain: (0,∞) Range: (-∞,∞) x -int: (1,0) y -int: None Vertical asymptote at x = 0 DecreasingIncreasing (1,0) Graph is smooth/continuous (no corners/gaps) 0 < b < 1 b > 1 Natural Logarithm – A logarithm of base e. Common Logarithm – A logarithm of base 10.

5. Changing Between Exponents and Logs Change each of the following exponential expressions into an equivalent logarithmic expression. Change each of the following logarithmic expressions into an equivalent exponential expression.

6. Solving Logarithmic Equations

10. Practice Problems

11. 4.4 Logarithmic Functions Homework #16: p.296 #9-43 odd