Trigonometry Examples

$\log_{5} (110)$

Step 1

Rewrite $\log_{5} (110)$ as $\log_{5} (2 \cdot 5 \cdot 11)$ .

$\log_{5} (2 \cdot 5 \cdot 11)$

Step 2

Rewrite $\log_{5} (2 \cdot 5 \cdot 11)$ as $\log_{5} (2 \cdot 5) + \log_{5} (11)$ .

$\log_{5} (2 \cdot 5) + \log_{5} (11)$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Rewrite $\log_{5} (2 \cdot 5)$ as $\log_{5} (2) + \log_{5} (5)$ .

$\log_{5} (2) + \log_{5} (5) + \log_{5} (11)$

Step 3.2

Logarithm base $5$ of $5$ is $1$ .

$\log_{5} (2) + 1 + \log_{5} (11)$