For $a0,\ a\ne1$ and $M,N0$: $\log_a(MN)=\log_a M+\log_a N$ Examples ExpressionSi

Question

For $a>0,\ a\ne1$ and $M,N>0$: $\log_a(MN)=\log_a M+\log_a N$ Examples ExpressionSimplified form $\ln2+\ln5$ $\log_3 2+\log_3 20$ $\log_2(5x),\ x>0$ Take note The bases must match. Do not split $\log_a(M+N)$.

Accepted Answer

$\log_a b+\log_a c=\log_a(b\times c)$

Expression	Simplified form
\(\ln2+\ln5\)
\(\log_3 2+\log_3 20\)
\(\log_2(5x),\ x>0\)

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Product Law

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