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已知log23=a,3b=7,用含a、b的式子表示log1256.
人气:463 ℃ 时间:2020-04-21 10:20:01
解答
log2(3)=a ---->log3(2)=1/a
log3(7)=b
log12(56)=log3(56)/log3(12)
=log3(7*2³)/log3(3*2²)
=【log3(7)+3log3 (2)】/[log3(3)+2log3(2)]
=(b+3/a)/(1+2/a)
=(ab+3)/(a+2)
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