Question

將2^0.3，log_0.32，log_0.33三個(gè)數(shù)按從小到大的順序排列為 ______．

Answer 1

由指數(shù)和對(duì)數(shù)函數(shù)的性質(zhì)得：2^0.3＞0，log_0.3²＜0，log_0.3³＜0；
而y=log_0.3^x為底數(shù)是0.3＜1的對(duì)數(shù)函數(shù)且是減函數(shù)，
由3＞2得到，log_0.3²＞log_0.3³，
所以三個(gè)數(shù)的大小順序?yàn)閘og_0.33＜log_0.32＜2^0.3
故答案為log_0.33＜log_0.32＜2^0.3