## College Algebra 7th Edition

$\log_{4}258\gt \log_{5}620$
We find a number near $258$ that it is easier to take $\log_{4}$ of: $\log_{4}258\gt \log_{4}256$ $\log_{4}258\gt \log_{4}4^{4}$ $\log_{4}258\gt 4$ Next, we find a number near $620$ that it is easier to take $\log_{5}$ of: $\log_{5}620\lt \log_{5}625$ $\log_{5}620\lt \log_{5}5^{4}$ $\log_{5}620\lt 4$ Therefore: $\log_{4}258\gt \log_{5}620$