Answer:
The answer to your question is: -2
Step-by-step explanation:
Data
log₁₀(1/100) = ?
We need to find a number that when we elevate 10 to this number, we get 1/100.
As the result is a fraction, the number must be negative.
And as the result must be 100, we can look for a root of 100 that gives 10, that root is square root (2).