Question

Evaluate $lo{g}_{10}\frac{1}{10000}$.

• A. -4
• B. 4
• C. 1
• D. -1

Answer 1

The correct option is A

-4

$lo{g}_{10}\frac{1}{10000}$ can be wriiten as

$lo{g}_{10}{10}^{-4}$
= $-4lo{g}_{10}10$ [using power law]
= $-4\left(1\right)$ [$lo{g}_{10}10=1$]
= $-4$