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

1 Answer
Aug 6, 2017

Answer:

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)#