How do you simplify #log_3 ((4x)/(7y)^9)#?

1 Answer
Mar 4, 2018

#log_3(4/7^9)+log_3(x)-9log_3(y)#

Explanation:

#log_3(4x)-log((7y)^9)#

#log_3(4)+log_3(x)-9log_3(7y)#

#log_3(4)+log_3(x)-9 (log_3(7)+log_3(y))#

#log_3(4)+log_3(x)-9log_3(7)-9log_3(y)#

#log_3(4)+log_3(x)+log_3(7^-9)-9log_3(y)#

#log_3(4 * 7^-9)+log_3(x)-9log_3(y)#

#log_3(4*1/7^9)+log_3(x)-9log_3(y)#

#log_3(4/7^9)+log_3(x)-9log_3(y)#