Question

How do you evaluate `log0.01`?

Answer 1

`log 0.01` `=-2`

Explanation:

`log 0.01`
`=log (1/100)`
`=log (1/10^2)`
`=log 10^-2`-> use property `x^-n=1/x^n`
`=-2 log 10`-> use property `log_b x^n = n log_b x`
`=-2(1)`-> log 10 = 1
`=-2`