How do you use the properties of logarithms to rewrite and simplify the logarithmic expression of #log (7/100)#?

1 Answer
Jun 22, 2015

Answer:

First use the division-to-subtraction rule

Explanation:

#log(7/100)=log7-log100#
Then remember that #100=10^2#
And that you may always put the exponent before the log:
#=log7-log10^2=log7-2*log10#

And since #log10=log_10 10=1#:
#=log7-2#