运用对数换底公式化简log2(3)*log3(4)

运用对数换底公式化简log2(3)*log3(4)*log4(5)*log5(2),

1个回答

log2(3)*log3(4)*log4(5)*log5(2)
=log2(3)*log3(2^2)*log2^2(5)*log5(2)
=log2(3)*2log3(2)*1/2 * log2(5)*log5(2) (2与1/2约分了)
=log2(3)*1/log2(3) * log2(5) * 1/log2(5)
=1