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# Determine the value of log(1000).

Last updated date: 24th Mar 2023
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${\log _{10}}1000 \to (1)$
As, we know that 1000 can be represented as ${10^3}$. Therefore equation (1) can be written as
${\log _{10}}{10^3} \to (2)$
Since, we know the property of logarithm i.e. ${\log _x}{a^n} = n{\log _x}a$. So applying the property on equation (2), we get
$\Rightarrow {\log _{10}}{10^3} = 3{\log _{10}}10 = 3[\because {\log _{10}}10 = 1]$