指数与对数运算1、3125.0)27102(1.0)972(=,2、化简:xxxx=。3、11115.12121xxxx=。4、已知nm10,10,则210=,)(810=。5、已知m33,则2727=。6、25log20lg100=。7、3109log28g的值是。8、方程41log23x的解是。9、方程)7lg()3lg()31lg(xxx的解是。10、设a,b,c都是正数,且cba643,那么()A、bac111B、bac122C、bac221D、bac21211、下列各式正确的是()①22log8log)28(log222②32log8log)28(log222③14log8log48log222④22log8log2log8log2222⑤4)8(log)2(log)]8)(2[(log222A、①④⑤B、③④C、③D、全正确12、下列是各式错误的是()①21001log10②233log33③)3(021log2logaaa④32log18log33⑤225log41log1010⑥225.0log10log255A、④B、⑤C、⑥D、全错13、如果10aa且,x、y为不等于0的实数,那以下面正确的是()A、yxyxaaaaloglog4loglog22B、222)log(logloglogyxyxaaaaC、22loglog2(loglog)aaaaxyxyD、||log||log4loglog22yxyxaaaa14、若nbm1010loglog,则m为()A、nbB、nb10C、nb10D、nb1015、(21)1log2116、432logloglog51217、)32(log)32(log943218、)246246(log219、22)2(lg20lg5lg8lg325lg20、若cba236632,求证:bcacab23.21、若yxyxlglg2lg2,求yx.22、设a、b同号,且09222baba,求)154lg()6lg(2222babababa的值。