Review of Logarithms. Review of Inverse Functions Find the inverse function of f(x) = 3x – 4. Find the inverse function of f(x) = (x – 3) 2 + 7. Steps.

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Presentation transcript:

Review of Logarithms

Review of Inverse Functions Find the inverse function of f(x) = 3x – 4. Find the inverse function of f(x) = (x – 3) Steps to find an inverse...

Inverse of Exponential Functions Find the inverse function of f(x) = 2 x. The inverse of an exponential function is a LOGARITHMIC function. Rewrite an exponential function as a log. Rewrite a logarithmic function as an exponent.

Basic Properties

Most commonly used logs… Common Logs Base 10 log 10log 1000log 1/10 Natural Logs Base e ln eln e 3 ln e -10

Other bases log 2 5 Change of Base Formula log b a = log 2 5 =

More Properties... log MN = log M/N = log M N = If M = N, then

Practice Problems Around the Room1 – 8

Solving Equations log (9x + 1) = 3 log 2x + log (x – 4) = 1 log (4x + 6) = log (8x – 2) log x + log (x – 2) = log 3 Worksheet