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设x>1且x²+2x-11=0,则log2(x-1)+log2(x+3)=?(须写最简结果)
人气:109 ℃ 时间:2020-04-08 22:43:10
解答
答:
x>1,x²+2x-11=0
x²+2x=11
log2(x-1)+log2(x+3)
=log2[(x-1)(x+3)]
=log2(x²+2x-3)
=log2(11-3)
=log2(8)
=log2(2³)
=3
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