Expand the Logarithmic Expression log of (10x)/6

$\log (\frac{10 x}{6})$

Rewrite $\log (\frac{10 x}{6})$ as $\log (10 x) - \log (6)$ .

$\log (10 x) - \log (6)$

Rewrite $\log (6)$ as $\log (2 (3))$ .

$\log (10 x) - \log (2 (3))$

Rewrite $\log (2 (3))$ as $\log (2) + \log (3)$ .

$\log (10 x) - (\log (2) + \log (3))$

Apply the distributive property.

$\log (10 x) - \log (2) - \log (3)$

Rewrite $\log (10 x)$ as $\log (10) + \log (x)$ .

$\log (10) + \log (x) - \log (2) - \log (3)$

Logarithm base $10$ of $10$ is $1$ .

$1 + \log (x) - \log (2) - \log (3)$