用loga(x),loga(y),loga(z). - 知识问答

用loga(x),loga(y),loga(z).表示loga*[(x^4*三次根号下y^2*z)/(根号下x*y*z^

1个回答

真数=x^4*(y^2z)^(1/2)/(xyz^3)^(1/2)
=x^4yz^(1/2)/[x^(1/2)y^(1/2)z^(3/2)]
=x^(4-1/2)y^(1-1/2)z^(1/2-3/2)
=x^(7/2)y^(1/2)z^(-1)
所以原式=loga[x^(7/2)]+loga[y^(1/2)]+log[z^(-1)]
=(7/2)loga(x)+(1/2)loga(y)-loga(z)

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