Answer
3
Work Step by Step
$Evaluate$ $the$ $expression$ $without$ $using$ $a$ $calculator:$
$\log_250 - \log_5 2$
Use the Second Law of Logarithms: $\log A - \log B = \log (\frac{A}{B})$
$$\log_5 250 - \log_5 2 = \log_5 (\frac{250}{2})$$
$$\log_5 125$$
Rewrite 125 as $5^3$
$$\log_5 5^3$$
Use the Third Property of Logarithms: $\log_a a^x = x$
$$\log_5 5^3 = 3$$
