问题
选择题
三个数log0.56,0.56,60.5的大小顺序为( )
A.0.56<log0.56<60.5
B.0.56<60.5<log0.56
C.log0.56<60.5<0.56
D.log0.56<0.56<60.5
答案
∵y=log0.5x为减函数,y=0.5x为减函数,y=6x为增函数,由它们的性质可得:
log0.56<0,0<0.56<1,60.5>1,
即log0.56<0.56<60.5.
故选D.