Logarithms

Logarithms One-to-One Functions Definition Evaluate Properties

One-to-one functions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Examples & Non-examples ,[object Object],[object Object],0 11 4 1 3 -6 -2 5 y x -3 -5 4 1 0 -2 7 -8 0 1 -3 -5 4 1 0 -2 7 -8 0 1 0 11 -2 1 3 5 -2 5 y x

Inverse Functions ,[object Object],[object Object],[object Object],0 11 4 1 3 -6 -2 5 y x 11 0 1 4 -6 3 5 -2 y x

Practice ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],-2 5 5 -2 2 -5 y x

Logarithmic Functions ,[object Object],[object Object],[object Object],2 1 1 0 1/2 -1 y x 1 2 0 1 -1 1/2 y x

Graphs of Logarithmic Functions ,[object Object],[object Object],[object Object],[object Object],1 b 0 1 -1 1/b y x

Graph Transformations ,[object Object],[object Object],[object Object]

Logarithms ,[object Object],[object Object],[object Object],Base Exponent

Special Bases ,[object Object],[object Object]

Practice Conversions ,[object Object],[object Object]

Laws/Properties of Exponents Review ( a is a nonzero real number) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Practice ,[object Object],[object Object],[object Object]

What’s up next? ,[object Object],[object Object],[object Object]

Logarithms

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Logarithms