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### Question

Let us suppose that log(4) = 2, then what is log($1/40$) if the base is 10?

**A**

-3.

**B**

$\text"log"_2(40)$.

**C**

$\text"log"_4(20)$.

**D**

3.

**Soln.**

**Ans: a**

We know log($1/{10m}$) = log(1) - (log(10) + log(m)) = 0 - (1 + 2) = -3.