1、(完整版)对数函数基础练习题 对数函数基础练习题选择题1与函数y()x的图像关于直线yx对称的函数是 ()Ay4x By4xCylogx Dylog4x2下列结论正确的是 ()lg(lg10)0lg(lne)0若10lgx则x10若elnx,则xe2A BC D3已知logx83,则x的值为 ()A. B2C3 D44log5b2,化为指数式是 ()A5b2Bb52C52b Db255若a0,且a1,xR,yR,且xy0,则下列各式不恒成立的是 ()logax22logax;logax22logax;loga(xy)logaxlogay;loga(xy)loga|xlogay|。ABC D6计
2、算log916log881的值为 ()A18 B。C. D。7已知lg2a,lg3b,则log36 ()A. B.C. D.8lg83lg5的值为 ()A3 B1C1 D39 的值是( ) A B1 C D210已知x=+1,则log4(x3x6)等于( )A. B。C。0 D。11。已知f(ex)=x,则f(5)等于( )Ae5 B5eCln5 Dlog5e12log5b2,化为指数式是 ()A5b2Bb52C52b Db2513。函数y=log(2x1)的定义域是( )(A)(,1)(1,+) (B)(,1)(1,+)(C)(,+) (D)(,+)14。若logm9logn90,那么m,n
3、满足的条件是( )(A)mn1 (B)nm1 (C)0nm1 (D)0mn115若1xb,a=logbx,c=logax,则a,b,c的关系是( )(A)abc (B)acb (C)cba (D)ca5或a2 B2a3或3a5C2a5 D3a421方程2log3x的解是 ()A9 B。C。 D。22log5log3(log2x)0,则x等于 ()A。 B。C。 D。23若log34log8mlog416,则m等于 ()A3 B9C18 D2724函数ylogax的图像如图所示,则实数a的可能取值是()A5 B。C. D。25设alog3,b()0.3,c2,则a,b,c的大小关系是 ()Aab
4、c BcbaCcc BcbaCcab Dacb27(2011天津高考)设alog54,b(log53)2,clog45,则 ()AacbBbcaCabc Dbac填空题1函数y=log(x-1)(3-x)的定义域是 。2lg25+lg2lg50+(lg2)2= 。3。log2。56。25lgln= 4。已知m1,试比较(lgm)0。9与(lgm)0.8的大小 5已知函数f(x)=1lg(x2),则f1(1)_6 若log30,则x_。7 7若a0,a2,则loga_。8log6log4(log381)_.9log_.10若loga2m,loga3n,则a2mn_.11对数函数的图像过点(16,
5、4),则此函数的解析式为_12已知函数y3loga(2x3)(a0且a1)的图像必经过定点P,则P点坐标_13方程x2logx解的个数是_解答题1将下列指数式化为对数式,对数式化为指数式:(1) x8;(2)logx646;(3)lg1 0003。解:(1)由x8,得xlog8;(2)由logx646,得x664;(3)由lg1 0003,得1031 000.2求下列各式中x。(1)log2x;(2)log5(log2x)0.3计算下列各式的值(1)log2log212log242;(2)log225log34log59。4计算下列各式的值:(1);(2)lg2lg5031log92;这可让他
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