How do you evaluate log 0.01 ?

3 Answers
Mar 22, 2016

I found -2 if the log is in base 10.

Explanation:

I would imagine the log base being 10
so we write:
log_(10)(0.01)=x
we use the definition of log to write:
10^x=0.01
but 0.01 can be written as: 10^-2 (corresponding to 1/100).
so we get:
10^x=10^-2
to be equal we need that:
x=-2
so:
log_(10)(0.01)=-2

Mar 22, 2016

log 0.01=-2

Explanation:

log 0.01
=log (1/100)
=log(1/10^2)
=log10^-2-> use property 1/x^n = x^-n
-2log10->use property log_b x^n=n*log_bx
= -2(1)->log 10 is 1
=-2

-2

Explanation:

\log0.01

=\log(1/100)

=\log(10^{-2})

=-2\log10

=-2\cdot 1

=-2