对数指数运算问题(1/27)^2+lg2*lg2500+2(lg5)^2+9^(2+log93)=_数学解答

对数指数运算问题
(1/27)^2+lg2*lg2500+2(lg5)^2+9^(2+log93)=

人气：226 ℃　时间：2020-01-30 02:03:08

解答

原式＝(1/27)^2+lg2*lg(5^2*10^2)+2(lg5)^2+9^2*9^log93
=(1/27)^2+lg2*(2lg5+2)+2(lg5)^2+81*3
=(1/27)^2+2lg2*lg5+2lg2+2(lg5)^2+81*3
=(1/27)^2+2(lg2+lg5)*lg5+2lg2+81*3
=(1/27)^2+2lg5+2lg2+81*3
=(1/27)^2+2+81*3

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