How do you evaluate log 1?

2 Answers
Jun 11, 2015

log1=0

Explanation:

You. basically. want to find the number a that used as exponent of the base b of your log gives 1:
log_b1=a
i.e.:
b^a=1
b^0=1

a=0
because a number to the power zero gives you 1.

Jun 11, 2015

log_10 1 can be evaluated like so:

log 1 = x

10^(log_10 1) = 10^x

10 raised to a log base 10 of something is that something.

1 = 10^x

Anything raised to the 0 is 1.

x = 0

Thus, log 1 = 0.