4.4对数概念及其运算VIP免费

得到:823一.积的对数运算性质422322538log224log2532log24log8log32log2221.运算性质猜想:4log8log48log222即)(logNMaNMaaloglog一.积的对数运算性质2.跟踪练习例1:求下列各式的值31log3log552lg5lg34log23log22(1)(2)(3)101得到:823二.商的对数运算性质42238log224log28log32log4log2221.运算性质:即8log32log)832(log2223225532log2二.商的对数运算性质猜想:NMalogNMaaloglogNNMMaaalogloglog移项即NNMNNMaaaloglog)(log2.跟踪练习二.商的对数运算性质例2:求下列各式的值(1)(2)3log6log22143log23log225log10log332log3(3)11.运算性质:三.幂的对数运算性质82322382238log22得到:8log28log222同理得到)(Rn38log2MnManaloglog2.跟踪练习例3:求下列各式的值(1)(2)27log33310lg522log51三.幂的对数运算性质(3)31四.知识小结积、商、幂的对数运算性质：如果a>0，a1，M>0，N>0有：积商幂MnManaloglog)(RnNMalogNMaaloglog)(logNMaNMaaloglog)223(log29log2log3777例题讲解求值:五.反馈练习1.计算(1)(2))42(log7525100lg(3)eln五.反馈练习2.求值9lg81lg51lg5lg32lg429lg9lg29lg9lg2(1)(2)410lg4)5lg2(lg45lg5lg32lg43.用表示下列各式zyxaaalog,log,log(1)zxyalogzxyaalog)(logzyxaaalogloglog(2)3.用表示下列各式zyxaaalog,log,log32logzyxa32log)(logzyxaazyxaaalog31log21log2五.反馈练习