S4 exponential and log functions Q2

log 3 = m and log 4 = n
log ( 2^2 ) = n
2 log 2 = n
log 2 = n / 2
a) log 6
= log 2 + log 3
= n / 2 + m
= m + n / 2
b) log√480
= log 4√30
= log 4 + log √30
= log 4 + ( 1 / 2 )( log 30 )
= log 4 + ( 1 / 2 )( log 3 + log 10 )
= n + m / 2 + 1 / 2
= m / 2 + n + 1 / 2

2007-12-10 17:16:45 補充：
Reminders: log mn = log m + log nlog m^n = n log m where m and n are +VE