What is the value of

log⁡⁡0.01

?

Your calculator will tell you - 2.

Actually this is the answer to: "To which power do we have to raise 10 to get 0.01?".

10⁻² = 0.01

Then you can easily agree that log (1000) will be 3.

Now hopefully you understand logs.

Note, this is assuming we're dealing with log₁₀. You can also have logs with another base. The principle is the same.