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log25加lg2乘以log50加上2log4

log25+log2×1og50+log4=2log5+log2×(2log5+log2)+2log2=2log5+2log2+2log2×log5+log2×log2 不知道这样对不对

lg25+lg2×lg50+lg²2 =2lg5+lg2×(1+lg5)+lg²2 =2lg5+lg2×lg5+lg2+lg²2 =lg5+(lg+lg2)+lg2×(lg5+lg2) =lg5+1+lg2 =1+1 =2

[log2]2+log2*log50+log25 =log2(log2+log50)+log25 =log2(log(2*50))+log25 =2log2+log25 =log2^2+log25 =log(4+25) =2 背公式loga+logb=logab,nloga=loga^n 可扩展

lg25+(lg2)2+lg2*lg50 =lg25+lg2*lg2+lg2*lg50 =lg25+lg2*(lg2+lg50) =lg25+lg2*lg100 =lg25+2*lg2 =lg25+lg2+lg2 =lg100 =2 (log4 3+log8 3)*(log3 2+log9 8) =(1/2log2 3+1/3log2 3)*(log3 2+3/2log3 2) =5/6log2 3*5/2log3 2 =25/12

lg5*lg20-lg2*lg50-lg25 =lg5*(lg2+1)-lg2*(lg5+1)-2*lg5 =lg5-lg2-2*lg5 =-1

a=(lg2)+(lg5)+lg4lg5+2log510+log50.25 =(lg2)+(lg5)+2lg2lg5+log5100+log50.25 =(lg2+lg5)+log5(100*0.25)=1+2=3 b=(log2125+log85)×log52 =(lg125/lg2+lg5/lg8)×(lg2/lg5) =(3lg5/lg2+lg5/(3lg2))×(lg2/lg5) =lg5/lg2=...

2log510+log50.25=log5100+log50.25=log525=2.(6449)-12+(278)23=[(87)2] -12+[(32)3] 23=(87)-1+(32)2=78+94=258.故答案为:2,258.

(1)2log510+log50.25=2log5(2×5)+2log50.5=2log52+2+2log512=2;(2)由10m=2,10n=3,则m=lg2,n=lg3.103m+n=103lg2+lg3=10lg24=24;(3)log2(47×25)?lg4100+log23?log34=log2214+log225?lg1012+2?lg3lg2?lg2lg3=19-12+2=412.

(1)log3(log327)=log3(log333)=log33…(2分)=1.…(4分)(2)2log510+log50.25=log5100+log50.25=log525…(6分)=log552=2.…(8分)

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