Answer
$3$
Work Step by Step
Use the rule "$\log_a{P} - \log_a{Q} = \log_a{\left(\frac{P}{Q}\right)}$" to obtain:
$=\log_5{\left(\frac{250}{2}\right)}
\\=\log_5{\left(125\right)}$
Note that $125=5^3$. Thus, the expression above is equivalent to:
$=\log_5{(5^3)}$
RECALL:
$\log_a{(a^x)} = x$
Use the rule above to obtain:
$\log_5{(5^3)} = 3$
