Question

Simplify: $\log 1000$

Answer 1

Given : $\log 1000$

$\log 1000=\log {10}^3$

We know that,

$n{\log }_{a}b={\log }_a{b}^n$

$\therefore \log 1000=3\log 10$.

As the base of $\log$ is $10$

$\therefore {\log }_{10}10=1$

$\therefore \log 1000=3$