Question

How do you solve `log_10 0.01`?

Answer 1

`log_10(0.01)=-2`

Explanation:

Given that we have to find the value of `log_10(0.01)`

Now, I believe you're familiar with exponents, powers and bases and about the number system being based on the powers of `10`.
So you'd obviously we can write that `0.01` is the same as `10^-2`

So writing that instead of `0.01`, we get that the problem is a bit easier, `log_10(10^-2)`
Now, i'm sure you know a good amount of logarithms too, so you must know that `log_nm^l=llog_nm` and that `log_n(n)=1` which means that for our problem up there is now very simple.

So, that means, in the end, `log_10(0.01)=-2log_10(10)`

You know what to do next.