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

1 Answer
Aug 6, 2017

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)