Precalculus Examples

$\log_{7} (14) + \log_{7} (14)$

Step 1

Add $\log_{7} (14)$ and $\log_{7} (14)$ .

$2 \log_{7} (14)$

Step 2

Rewrite $\log_{7} (14)$ as $\log_{7} (2 (7))$ .

$2 \log_{7} (2 (7))$

Step 3

Rewrite $\log_{7} (2 (7))$ as $\log_{7} (2) + \log_{7} (7)$ .

$2 (\log_{7} (2) + \log_{7} (7))$

Step 4

Logarithm base $7$ of $7$ is $1$ .

$2 (\log_{7} (2) + 1)$

Step 5

Apply the distributive property.

$2 \log_{7} (2) + 2 \cdot 1$

Step 6

Multiply $2$ by $1$ .

$2 \log_{7} (2) + 2$