1. Logarithmic Functions Algebra 2 8.4

2. Logarithmic Functions 2x = 6 You know that 22< 6 < 23, so that means 2 < x < 3.

3. Mathematicians use logarithms to find the exact value of exponents like this example.

4. 2x = 6 can also be written in log form: log2 6 = x

5. 2x = 6 can also be written in log form: log2 6 = x Exponential form Logarithmic form

6. Log Functions Log functions are inverses of exponential functions.

7. The graphs of inverse functions are symmetric across the line y = x.

8. The Domain and Range for exponential functions are opposite for log functions.

9. Graphing Log Functions The line x = h is a vertical asymptote.

10. Graphing Log Functions The line x = h is a vertical asymptote. If b > 1, the graph is increasing.

11. y = logb (x – h) + k Graphing Log Functions The line x = h is a vertical asymptote. If b > 1, the graph is increasing. If 0 > b > 1, the graph is decreasing.