# How do you solve Log 378 = x?

$\log 378 = \log 2 + \log 7 + 3 \log 3$
$\log 378 = x$
$378 = 2 \cdot 7 \cdot {3}^{3}$
$\log \left(2 \cdot 7 \cdot {3}^{3}\right) = \log 2 + \log 7 + 3 \log 3$