题目内容
设a=log36,b=log510,c=log714,则( )
A.c>b>a | B.b>c>a |
C.a>c>b | D.a>b>c |
D
a=log36=log33+log32=1+log32,
b=log510=log55+log52=1+log52,
c=log714=log77+log72=1+log72,
∵log32>log52>log72,∴a>b>c,故选D.
b=log510=log55+log52=1+log52,
c=log714=log77+log72=1+log72,
∵log32>log52>log72,∴a>b>c,故选D.
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