Question

show that log 360=3 log 2 + 2log 3 + log 5

Answer 1

Hope ki helps..
Use all the multiplication property of log

Answer 2

hey dear

here is your answer

Solution

360 = 2*2*2*3*3*5 = 2 cube * 3 square 5

log 360 = log ( 2cube * 3 square * 5)

log 360 = log 2cube + log 3square + log 5

log 360 = 3 log 2 + 2log 3 + log 5

LHS = RHS

hence showed

hope it helps

thank you