1. Logarithm Basics

2. The logarithm base a of b is the exponent you put on a to get b: i.e. Logs give you exponents! Definition of Logarithm a > 0 and b > 0

3. Logarithm and Exponential Forms 5 = log 2 (32) 2 5 = 32 Logarithm Form Exponential Form Base Stays the Base Logs Give you Exponents Input Becomes Output

4. Examples Write each equation in exponential form 1.log 125 (25) = 2/3 2.Log 8 (x) = 1/3 Write each equation in logarithmic form 1.If 64 = 4 3 2.If 1/27 = 3 x 125 2/3 = 25 8 1/3 = x log 4 (64) = 3 Log 3 (1/27) = x

5. OriginalInverse Inverse of an Exponential Equation Log’s give you exponents! OR