log運算

w=log4(12)要如何化到最簡?如果4=基數,則:w=log(12)/log(4)=[2*log(2)+log(3)]/2*log(2)=1+log(3)]/2*log(2)=1+0.47712/2*0.301013=1.792524......ans

log(2) = 0.301030 或 0.30102999566398...

log4 (12) = log2 ^ 2 (2 ^ 2 × 3)
　　　　= log2 ^ 2 (2 ^ 2) + log2 ^ 2 (3)
　　　　= 1 + log4 (3)