已知:loga1(b1)=loga2(b2)=……logan(bn)=x,则log(a1a2……an)(b1b2……bn)=
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![已知:loga1(b1)=loga2(b2)=……logan(bn)=x,则log(a1a2……an)(b1b2……bn)=](/uploads/image/z/3878789-5-9.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%9Aloga1%28b1%29%3Dloga2%28b2%29%3D%E2%80%A6%E2%80%A6logan%28bn%29%3Dx%2C%E5%88%99log%28a1a2%E2%80%A6%E2%80%A6an%29%28b1b2%E2%80%A6%E2%80%A6bn%29%3D)
已知:loga1(b1)=loga2(b2)=……logan(bn)=x,则log(a1a2……an)(b1b2……bn)=
已知:loga1(b1)=loga2(b2)=……logan(bn)=x,则log(a1a2……an)(b1b2……bn)=
已知:loga1(b1)=loga2(b2)=……logan(bn)=x,则log(a1a2……an)(b1b2……bn)=
知识:loga(b)=ln(b)/ln(a)
原式=ln(b1b2b3...)/ln(a1a2a3...)
=[ln(b1)+ln(b2)...]/[ln(a1)+ln(a2)...]
=x