# How do you evaluate log 5 + log 10 + log 2?

##### 1 Answer

Use the log power rule to combine the logs being added and you'll eventually simplify down to $2$

#### Explanation:

Let's start with the original:

$\log 5 + \log 10 + \log 2$

The log power rule states that this equals:

$\log \left(5 \cdot 10 \cdot 2\right)$

And we can simplify that to

$\log \left(100\right)$

Which simplifies to

$2$