# How do you calculate log_10 3+2 log_10y?

Jul 27, 2016

#### Answer:

${\log}_{10} \left(3 + {y}^{2}\right)$

#### Explanation:

A final answer cannot be calculated because y is a variable, and this is an expression not an equation.

However, it can be simplified, or written in a condensed or different form.

If logs are being added, the numbers are being multiplied.

${\log}_{10} 3 + 2 {\log}_{10} y = {\log}_{10} 3 + {\log}_{10} {y}^{2} \text{ power law}$

=${\log}_{10} \left(3 + {y}^{2}\right)$