Question

How do you use the properties of logarithms to expand `log_10 (4x^2y)`?

Answer 1

See below.

Explanation:

Remember that `\log_10(ab)=log_10a+log_10b`

So,

`log_10 (4x^2y)=log_10 (4)+log_10 (x^2)+log_10 (y)`

In addition, `\log_10(a^2)=2log_10a`

So,

`log_10 (4)+log_10 (x^2)+log_10 (y)=2log_10 (2)+2log_10 (x)+log_10 (y)`