【log2(3根号1/16*6根号16)】

发布时间：2021-03-20 19:17:07

log2(3根号1/16*6根号16)

网友回答

log2(3根号1/16*6根号16)
=log2[1/16^(1/3)*16^(1/6) ]
=log2[16^(1/6-1/3)]
=log2[(2^4)^(-1/6)]
=log2[2^(-2/3)]
=-2/3 log2(3*根号1/16*6*根号16)
=log2[3*6*根号（1/16*16)]
=log2[18*1]
=log2[3^2*2]
=log2(3^2)+log2(2)
=2log2(3) + 1
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