Question

设：a=2^0.3,b=0.3^2,c=logx[(x^2) +0.3](x>1),则a,b,c的大小关系是?

Answer 1

∵a=20.3＜21=2且a=20.3＞20=1,

∴1＜a＜2,

又∵b=0.32＜0.30=1,

∵x＞1,∴c=logx（x2+0.3）＞logxx2=2,

∴c＞a＞b．