# How do you use properties of Logarithms to rewrite the following as the logarithm of a single number log 7 + log 3?

Jul 5, 2015

$\log 7 + \log 3 = \log 21$

#### Explanation:

Property: $\log \left(x y\right) = \log x + \log y$ or $\log x + \log y = \log \left(x y\right)$

So

log7 + log3 = log(7×3)

$\log 7 + \log 3 = \log 21$