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### Question

Let us suppose that log(5) = 3, then what is log($1/50$) if the base is 10?

**A**

-4.

**B**

$\text"log"_3(50)$.

**C**

$\text"log"_5(30)$.

**D**

4.

**Soln.**

**Ans: a**

We know log($1/{10m}$) = log(1) - (log(10) + log(m)) = 0 - (1 + 3) = -4.