log2(3)-log4(6)怎么算
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log2(3)-log4(6)怎么算
![log2(3)-log4(6)怎么算](/uploads/image/z/4008763-19-3.jpg?t=log2%283%29-log4%286%29%E6%80%8E%E4%B9%88%E7%AE%97)
log2(3)-log4(6)
= log2(3)-log2^2((√6)^2)
= log2(3)-log2(√6)
= log2(3/√6)
= log2(√3/√2)
= log2(√3)-log2(√2)
= 1/2log2(3) - 1/2
如果题目是【log2(3)-log4(36)】
log2(3)-log4(36)
= log2(3)-log2^2((6)^2)
= log2(3)-log2(6)
= log2(3/6)
= log2(1/2)
= -1
= log2(3)-log2^2((√6)^2)
= log2(3)-log2(√6)
= log2(3/√6)
= log2(√3/√2)
= log2(√3)-log2(√2)
= 1/2log2(3) - 1/2
如果题目是【log2(3)-log4(36)】
log2(3)-log4(36)
= log2(3)-log2^2((6)^2)
= log2(3)-log2(6)
= log2(3/6)
= log2(1/2)
= -1
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