用logax,logay,logaz表示下列各式:(1)loga x^2y/z^3;(2)loga 根号x/y三次根号z
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用logax,logay,logaz表示下列各式:(1)loga x^2y/z^3;(2)loga 根号x/y三次根号z;(3)loga (x^3*y^2*z^2).
急,今天就要,
急,今天就要,
(1)loga(x^2y/z^3)
=loga(x^2)+loga(y)-loga(z^3)
=2*loga(x)+loga(y)-3*loga(z)
(2)loga 根号x/y三次根号z
=loga[x^(1/2)]-loga(y)-loga[z^(1/3)]
=1/2*loga(x)-loga(y)-1/3*loga(z)
(3)loga (x^3*y^2*z^2)
=loga(x^3)+loga(y^2)+loga(z^2)
=3*loga(x)+2*loga(y)+2*loga(z)
=loga(x^2)+loga(y)-loga(z^3)
=2*loga(x)+loga(y)-3*loga(z)
(2)loga 根号x/y三次根号z
=loga[x^(1/2)]-loga(y)-loga[z^(1/3)]
=1/2*loga(x)-loga(y)-1/3*loga(z)
(3)loga (x^3*y^2*z^2)
=loga(x^3)+loga(y^2)+loga(z^2)
=3*loga(x)+2*loga(y)+2*loga(z)
1.下列式子中成立的是(假定各式子均有意义)A.logax·logay=loga(x+y) B,(logax)^n=nl
解释为何loga(x*y)=logax+logay,万分感谢!
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