Algebra Examples

$\log_{3} (9) + \log_{3} (\frac{1}{9})$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{3} (9 (\frac{1}{9}))$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Cancel the common factor.

$\log_{3} (9 (\frac{1}{9}))$

Step 2.2

Rewrite the expression.

$\log_{3} (1)$

Step 3

Logarithm base $3$ of $1$ is $0$ .

$0$