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∵loga23>1∴loga23>logaa,當a>1時,函數是一個增函數,23>a,為空集,當0<a<1時,函數是一個减函數,根據函數的單調性有23<a,可知a的取值範圍是23<a<1.綜上可知a的取值範圍是(23,1)故答案為:(23,1)
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