Question

Log 180=2 log 2 + 2log 3 + log 5

Answer 1

Hi ,

we know that ,

1 ) log mn = log m + log n

2 ) log m^n = n log m

LHS = log 180

= log ( 2 ×2 × 3 × 3 × 5 )

= log ( 2² × 3² × 5 )

= log 2² + log 3² + log 5

= 2 log 2 + 2 log 3 + log 5

= RHS

I hope this helps you.

:)