Answer
$3$
Work Step by Step
We know that $\log_ab=c\Leftrightarrow a^c=b$ and $\ln b=c\Leftrightarrow e^c=b$.
Also, $\log_a a^x=x$ and $\log_a b^x=x\log_a b$
Hence here: $\log1000=\log10^3=3\log10=3\cdot1=3$
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