# How do you condense  log 250 + log 4?

You use the rule $\log a \times b = \log a + \log b$ in reverse
$\to \log 250 + \log 4 = \log \left(250 \times 4\right) = \log 1000$
$= \log {10}^{3} = 3 \log 10 = 3 {\log}_{10} 10 = 3 \times 1 = 3$