How do you evaluate # log 100#?

1 Answer
Apr 15, 2018

#log(100) = 2#

Explanation:

In this section (inverse of exponential functions) the way to describe it is as the number that as an exponent of 10 would result in the value of 100.
E.g. #10^2 = 100#

Without a calculator the original expression #10^x = 100# would need to be solved with a logarithm table. In this particular case we can use the known relationship to see that any multiple of 10 would be a whole number.

I.e. #log(1) = 0#
#log(10) = 1#
#log(100) = 2#
#log(1000) = 3#
#log(10000) = 4#
#log(100000) = 5#