Question

Show that $\log 360=3\log 2+2\log 3+\log 5$

Answer 1

log 360 = log $(9\times 4\times 2\times 5)$

= log $(9\times 8\times 5)$

= log 9+log 8+ log 5

$=log{3}^2+log{2}^3+log5$

= 2 log 3+3 log 2+ log 5