Logarithms

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Inverse Functions

• Original function: • Inverse function:

Example

Inverses Invert

Invert

Now solve for y.

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Enter the Logarithm

means

“Jumping Horse Outline”by warszawianka. Found at http://openclipart.org/detail/10712/jumping-horse-outline-by-warszawianka-10712. Public domain.

Solution:

Implications? Graphs of inverse functions reflect over line .

Implications

• Increasing• Asymptote: y-axis => x>0.• loga1=0.

• logaa=1.

Summary

Basic relationship:

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Yes but so what?