若a>0,a^(3/4)=27,则log(1/3)a=

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若a>0,a^(3/4)=27,则log(1/3)a=
若a>0,a^(3/4)=27,则log(1/3)a=

若a>0,a^(3/4)=27,则log(1/3)a=
∵a^(3/4)=27
∴两边同时以1/3为底取对数
则㏒(1/3)a^(3/4)=㏒(1/3)27
∴3/4·㏒(1/3)a=㏒(1/3)27=㏒(3^-1)3^3=-3
∴㏒(1/3)a=-4