问题
填空题
若a=0.53.4、b=log0.54.3、c=log0.56.7,则a,b,c的大小关系是______.
答案
∵y=0.5x是减函数,∴0<a=0.53.4<0.50=1,
∵y=log0.5x是减函数,
∴c=log0.56.7<b=log0.54.3<0,
故c<b<a.
故答案为:c<b<a.
若a=0.53.4、b=log0.54.3、c=log0.56.7,则a,b,c的大小关系是______.
∵y=0.5x是减函数,∴0<a=0.53.4<0.50=1,
∵y=log0.5x是减函数,
∴c=log0.56.7<b=log0.54.3<0,
故c<b<a.
故答案为:c<b<a.