Given log(4)=0.6021, log(9)=0.9542, and log(12)=1.0792, how do you find log(0.06)?

1 Answer
Oct 11, 2017

Start by observing that:

12/0.06 = 200

Then ask yourself the question; "How do we divide by 200 using base 10 logarithms?"

In base 10, we divide by 100 by subtracting 2.

And divide by 2 by subtracting 1/2log(4)

log(0.06) = log(12)-2-1/2log(4)

log(0.06) = 1.0792-2-(0.6021)/2

log(0.06) = -1.2218