1. Logarithmic Properties Exponential Function y = b x Logarithmic Function x = b y y = log b x Exponential Form Logarithmic Form

2. logarithmisexponent The logarithm is the exponent to which a base must be raised to give a power. Exponential Form Logarithmic Form 5 3 = 125  7 2 = 49  5 -2 = 1 / 25  3 -4 = 1 / 81  9  = 3  36  = 6  b e = P  3 = log 5 125 2 = log 7 49 -2 = log 5 ( 1 / 25 ) -4 = log 3 ( 1 / 81 )  = log 9 3  = log 36 6 e = log b P

3. logarithmisexponent The logarithm is the exponent to which a base must be raised to give a power. Exponential Form Logarithmic Form  4 = log 3 81  2 = log 8 64  -2 = log 7 ( 1 / 49 )  -4 = log 2 ( 1 / 16 )   = log 81 3   = log 32 2  y = log a x 3 4 = 81 8 2 = 64 7 -2 = 1 / 49 2 -4 = 1 / 16 81  = 3 32  = 2 a y = x

5. Ex#2] Evaluate.

7. Ex#4] Evaluate.