What is #log_6 496.8 - log_6 2.3#?

1 Answer
Feb 20, 2016

I found that it is equal to #3#

Explanation:

We can write it as:
#log_6(496.8/2.3)=log_6(216)=3#

We use the property of logs:
#loga-logb=log(a/b)#
and the definition of log:
#log_ax=b ->a^b=x#
in:
#log_6(216)=3#

because: #6^3=216#