log1/2^2√2=

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log1/2^2√2=
log1/2^2√2=

log1/2^2√2=
log1/2^2√2
=-log2(2√2)
=-(log2(2)+log2(√2))
=-(1+1/2)
=-3/2
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原式=lg2√2/lg(1/2)
=lg[2^(1+1/2)]/lg2^(-1)
=(3/2)lg2/(-lg2)
=-3/2

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