1. ALISON BOWLING LOGARITHMS

2. LOGARITHMS (BASE 10) 10 0 = 1log 10 1 = 0 10 1 = 10log 10 10 = 1 10 2 = 100log 10 100 = 2 10 3 = 1000log 10 1000 = 3 10 -1 =.1log 10.1 = -1 10 -2 =.01log 10.01 = -2 10 -3 =.001log 10.001 = -3 10 -4 =.0001log 10.0001= -4 Note: Log x where X <= 0 is undefined

3. LOGARITHMS (BASE E) Euler’s number, e = 2.71828…. e x : exponential function e is of eminent importance in mathematics (alongside  ) e 1 = 2.71828….ln (2.718) = 1 e 2 = 7.39ln (7.39 ) = 2 e -2 = 1/7.39 =.135ln (0.135) = -2 In general, if y = e x thenln (y) = x

4. PROPERTIES OF LOGARITHMS