# How do you condense l og25 + log2x – log210?

Combine logs with the same base to arrive at
$\log \left(\frac{5 x}{21}\right)$

#### Explanation:

Combine logs with the same base in this way:

$\log 25 + \log \left(2 x\right) - \log 210$

$\log \left(\frac{25 \cdot 2 x}{210}\right)$

and now we can simplify:

$\log \left(\frac{25 x}{105}\right)$

$\log \left(\frac{5 x}{21}\right)$