Answer
$\log{1000} = 3$
Work Step by Step
The given expression involves a common logarithm, meaning that no base is written in, so its base is 10.
RECALL:
$\log{y}=x \longrightarrow 10^x=y$
Let
$\log{1000}=x$
Use the rule above, with $y=1000$, to obtain:
$10^x=1000
\\10^x=10^3$
Use the rule "If $a^x=a^y$, then $x=y$" to obtain:
$x=3$
Therefore,
$\log{1000} = 3$