[log(5)(根號2)*log(7)9]/[log(5)(1/3)*log(5)(4的立方根)]
={[lg(根號2)/lg5]*(lg9/lg7)}/{[lg(1/3)/lg5]*[lg4的立方根/lg5] 換底公式
=[(1/2)lg2*(2lg3)/(lg5*lg7)]/[(-lg3*lg5)/(2/3)*lg2*lg5]
=(-3/2)*(lg2*lg3*lg5*lg5)/(lg5*lg7*lg3*lg2)
=-3/2*lg5/lg7
=-3/2*log(7底)5
log以5為底3分之一的對數(shù)xlog以5為底4的立方根的對數(shù)分之log以5為底根號2的對數(shù)xlog以7為底9的對數(shù)
log以5為底3分之一的對數(shù)xlog以5為底4的立方根的對數(shù)分之log以5為底根號2的對數(shù)xlog以7為底9的對數(shù)
數(shù)學人氣:634 ℃時間:2020-06-07 06:39:44
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