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Section 6.2 : Logarithm Functions

6. Write \({\log _9}\,\displaystyle \frac{1}{{81}} = - 2\) in exponential form.

Show Solution

There really isn’t all that much to do here other than refer to the definition of the logarithm function given in the notes for this section.

Here is the exponential form for this expression.

\[\require{bbox} \bbox[2pt,border:1px solid black]{{{9^{ - 2}} = \frac{1}{{81}}}}\]