计算log2 √(48/7)-log2 12+(1/2)log2 42-1

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计算log2 √(48/7)-log2 12+(1/2)log2 42-1
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计算log2 √(48/7)-log2 12+(1/2)log2 42-1
计算log2 √(48/7)-log2 12+(1/2)log2 42-1

计算log2 √(48/7)-log2 12+(1/2)log2 42-1
原式=log2 √(48/7)-log2 12+log2 √42-log2 2
=log2(√(48/7)÷12×√42÷2)
=log2 (√2/2)
=-1/2

log2 √(48/7)-log2 12+(1/2)log2 42-1
=(1/2)(log2 (48/7)-2log2 12 +log2 42 -2)
=(1/2)(log2(48*42/7/144)-2) 48*42/7/144=2
=(1/2)(log2 2 -2)
=(1/2)(1-2)
=-1/2