Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Multiply $8 \cdot 2 \cdot 9$ .

Tap for more steps...

Step 3.1

Multiply $8$ by $2$ .

$\log_{12} (16 \cdot 9)$

Step 3.2

Multiply $16$ by $9$ .

$\log_{12} (144)$

Step 4

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

$2$