Question

下列式子中成立的是（　�。�

A．log0.44＜log0.46	B．1.013.4＞1.013.5
C．3.50.3＜3.40.3	D．log76＜log67

Answer 1

對于A：設(shè)函數(shù)y=log_0.4x，則此函數(shù)單調(diào)遞減∴l(xiāng)og_0.44＞log_0.46∴A選項(xiàng)不成立
對于B：設(shè)函數(shù)y=1.01^x，則此函數(shù)單調(diào)遞增∴1.01^3.4＜1.01^3.5 ∴B選項(xiàng)不成立
對于C：設(shè)函數(shù)y=x^0.3，則此函數(shù)單調(diào)遞增∴3.5^0.3＞3.4^0.3 ∴C選項(xiàng)不成立
對于D：設(shè)函數(shù)f（x）=log₇x，g（x）=log₆x，則這兩個(gè)函數(shù)都單調(diào)遞增∴l(xiāng)og₇6＜log₇7=1＜log₆7∴D選項(xiàng)成立
故選D