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Logarithmic Functions & Their Graphs
Sec. 5.2 Logarithmic Functions & Their Graphs
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Logarithmic Function is the inverse of exponential function
Definition of Logarithmic Function y = logax if and only if x = ay f(x) = logax for x>0 & a>0, a≠1 Natural log is represented by ln y = ln x means logex if x = ey
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logax Means what exponent must a be raised to to get x. log28
Means what must 2 be raised to in order to get 8. log28 = 3
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log93 Set it up in exponential form 9x = 3 Try these log66 log5(1/25)
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Common Logarithmic Function
Has 10 as its base Denoted with just log What the log on the calculator represents
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What would these be? log 10 2 log 2.5 log (-2)
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Properties of Logarithms
logaa=1 logaax=x If logax = logay then x=y
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also ln 1 = 0 ln e = 1 ln ex = x If ln x = ln y then x=y
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