Sections 4-3 4-4.pdf - 4.3/4.4 Logarithmic functions and...

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4.3/4.4 Logarithmic functions and properties The logarithmic function is the inverse of the exponential function . Remember inverse means we swap x and y or x and f ( x ). Therefore the exponential form of the logarithmic function is . Since we usually solve equations for y, this last equation is rewritten with the function name log as . The word log is just the name of the function that finds the exponent y . The input for the log, x , will always be a positive number. This can be seen by the graph. Example 1. Write in log form. Example 2. Write in log form. We the base is the number e we will use the function “natural log” or “ln” on your calculators. Example 3. Write in log form. Example 4. Write in exponential form. Example 5. Write in exponential form. Example 6. Write in exponential form.
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Properties of logarithms 1. 2. 3. 4. 5. Example 7. Expand the expression using the properties. Example 8. Expand the expression using the properties.
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