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若Inx-Iny=a,则In(x/3)^3-In(y/2)^3等于在线等·····急Aa/2BaC3a/2D3a
题目详情
若Inx-Iny=a,则In(x/3)^3-In(y/2)^3等于
在线等·····急
A a/2 B a C 3a/2 D3a
在线等·····急
A a/2 B a C 3a/2 D3a
▼优质解答
答案和解析
In(x/3)^3-In(y/2)^3
＝3[ln(x/3)-ln(y/2)]
=3[lnx-ln3-(lny-ln2)]
=3[(lnx-lny)-(ln3-ln2)]
=3a+3ln(2/3)
＝3[ln(x/3)-ln(y/2)]
=3[lnx-ln3-(lny-ln2)]
=3[(lnx-lny)-(ln3-ln2)]
=3a+3ln(2/3)
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