Precalculus Examples

$\log_{12} (2) + \log_{12} (9) + \log_{12} (8)$

Step 1

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

$\log_{12} (2 \cdot 9) + \log_{12} (8)$

Step 2

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

$\log_{12} (2 \cdot 9 \cdot 8)$

Step 3

Multiply $2 \cdot 9 \cdot 8$ .

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Step 3.1

Multiply $2$ by $9$ .

$\log_{12} (18 \cdot 8)$

Step 3.2

Multiply $18$ by $8$ .

$\log_{12} (144)$

Step 4

Logarithm base $12$ of $144$ is $2$ .

$2$