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湖北省宜昌市高中数学 第二章 基本初等函数Ⅰ2.2.1 对数与对数运算一同步练习新人教A版1 精

§2.2.1 ※基础达标 对数与对数运算(一) ( D. b N ? a ( 1 1 1 ? 与 log 8 ? ? 2 2 3 1. logb N ? a (b ? 0, b ? 1, N ? 0) 对应的指数式是 A. ab ? N B. ba ? N C. a N ? b ) 2.下列指数式与对数式互化不正确的一组是 A. e0 ? 1与 ln1 ? 0 C. log3 9 ? 2与9 2 ? 3 3.设 5lg x ? 25 ,则 x 的值等于 A. 10 4.设 log x A. 2 B. 0.01 C. 100 D. 1000 ( D. ) 1 ) B. 8 1 ?( ) 3 D. log7 7 ? 1与71 ? 7 ( ) 1 3 ? ,则底数 x 的值等于 8 2 B. 1 2 C. 4 ? 1 1 4 ( D. 1 3 3 5.已知 log4 [log3 (log 2 x)] ? 0 ,那么 x 2 等于 A. ) 1 3 B. 1 2 3 C. ; ; 1 2 2 1 6.若 log 2 x ? ,则 x= 3 7.计算: log 3 81= ※好题演练 8.求下列各式的值: (1) log 2 2 若 log x 3 ? ?2 ,则 x= . . lg 0.16 = 8 ; (2) log9 3 ; (3) log0.4 1 ; (4) log3 243. 9.求下列各式中 x 的取值范围:(1) log x ?1 ( x ? 3) ; (2) log1?2 x (3x ? 2) . -1- 10. (1)设 loga 2 ? m , log a 3 ? n ,求 a 2 m ? n 的值. (2)设 A ? {0,1, 2} , B ? {loga 1,loga 2, a} ,且 A ? B ,求 a 的值. -2-

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