## Precalculus: Mathematics for Calculus, 7th Edition

$\log A + 2\log B + 3\log C$
$Expand$ $the$ $logarithmic$ $expression:$ $\log (AB^2C^3)$ Use the First Law of Logarithms $\log(A\times B^2\times C^3) = \log A + \log B^2 + \log C^3$ Use the Third Law of Logarithms for $\log B^2$ and $\log C^3$ $$\log B^2 = 2\log B$$ $$\log C^3 = 3\log C$$ $$\log A + 2\log B + 3\log C$$