1. BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

2. LOGARITHMS Wednesday, April 16, 2014

3.  Exponential GRAPHS  Logarithmic

4. INVERSE

5. NOTES The inverse of an exponential function is a logarithmic function. To convert from an exponential to a log –> 2 5 = 32 is log 2 32 = 5 Calculators only do log 10 which is called “common log” So log is really log base 10.

6. PROPERTIES OF LOGS-- NOTES 1) log b mn = log b m + log b n 2) log b m = log b m – log b n n 3) log b m p = p log b m

7. BELL RINGER (IN MATH JOURNAL) 1.How can you convert from exponential to logarithmic form? 2.What base is the log button on your calculator? 3.What are the properties of logs?

8. LOGARITHMIC EQUATIONS Thursday, April 17, 2014

9. NOTES To convert from logarithm to an exponential log 2 32 = 5 → 2 5 = 32

10. SOLVING LOG EQUATIONS 1.If possible, get log of the same bases equal and “drop the log.” 2.If not, then change to exponential form and solve.

11. CHANGE OF BASE