已知正数a,b满足a2+b2=7ab.求证:lg a+b/3 =1/2(lg a +lg b )

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已知正数a,b满足a2+b2=7ab.求证:lga+b/3=1/2(lga+lgb)已知正数a,b满足a2+b2=7ab.求证:lga+b/3=1/2(lga+lgb)已知正数a,b满足a2+b2=7

已知正数a,b满足a2+b2=7ab.求证:lg a+b/3 =1/2(lg a +lg b )
已知正数a,b满足a2+b2=7ab.求证:lg a+b/3 =1/2(lg a +lg b )

已知正数a,b满足a2+b2=7ab.求证:lg a+b/3 =1/2(lg a +lg b )
a^2+2ab+b^2=9ab a+b=3√(ab) (a+b)/3=√(ab)
lg[(a+b)/3]=1/2(lga+lgb)