log5 根号二log49 81
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lg1/4-lg25=lg(1/4)/25=lg1/100=-22log510+log50.25=log510^2+log50.25=log5100+log50.25=log5100*0.25=log
得数为1{(1/2log5底2*1/2log7底3)/(1/2log5底3*1/2log7底2)=[(ln5/ln2)*(ln7/ln3)]/[(ln5/ln3)*ln7/ln2)]=(ln3*ln2
用换底公式,原式=[(1/2)(lg2*/lg5)*(4lg3)/(2lg7)]/{[lg(1/3)/(2lg5)]*[(2/3)lg2/lg7}=(2lg2*lg3)/2lg5lg7)*[(-2lg
log5(35)+2log0.5(根号2)-log5(0.02)-log5(14)=log[35/(0.02*14)]-1=log125-1=2
原式=lg25/lg4-2lg10/lg4+lg9/lg2×lg√5/lg3×lg2/lg5=(2lg5)/(2lg2)-2/(2lg2)+(2lg3)/lg2×(½lg5)/lg3×lg2
答案是1.要用到换底公式logA(B)=lnB/lnA那么原式=(ln9/ln2)*(ln(根号5)/ln3)*(ln5/ln2)=2ln3/ln2*(1/2ln5)/ln3)*ln5/ln2你自己在
(log5根号2*log4981)/(log251/3*log74开3次方)=(1/2log52*log79)/(1/2log51/3*1/3log74)=—3
二分之九
log5(35)-log5(1/50)-log5(14)+2log1/2(根号2)=log5(35/(1/50))-log5(14)+2log2(根号2)=log5(35*50))-log5(14)+
2(lg根号下2)^2+(lg根号下2)(lg5)+|lg根号下2-(log2底5)(log5底2)|=(lg根号下2)×(2lg根号下2+lg5)+|lg根号下2-1|=(lg根号下2)×(lg2+
利用公式lga^b=blga知:lg25=2lg5,lg9=2lg3,lg2倍根号2=(3/2)*lg2log2^25*log3^2倍根号2*log5^9(利用loga^b=lga/lgb,化成同底形
由lg8000=lg8+lg1000=3lg2+3=3(lg2+1)lg2^√3=√3lg2所以原式=lg5*lg8000+(lg2^√3)^2=3lg5((lg2+1))+(√3lg2)^2=3lg
=log25*log581*log34+ln√e=log(2)5x4log(5)3x2log(3)2+1/2lne=8[log(3)5/log(3)2]xlog(5)3xlog(3)2+1/2=8lo
log2^5*log3^2倍根号2*log5^9=lg5*lg2倍根号2*lg9/(lg2*lg3*lg5)=3*lg5*lg2*lg3/(lg2*lg3*lg5)=3再问:log2^25*log3^
[log(3)3^1/2]^2+log(0.25)1/4+9log5根号5-log(根号3)1=?=(1/2)^2+1+9x1/2-0=1/4+1+9/2=23/4
方程两边取关于5的对数1/2log5(x)*[log5(x)-1]=1设Y=log5(x),原议程转化为1/2Y(Y-1)=1y^2-Y-2=0解得Y=2或Y=-1所以x=25或x=1/5
根号5的log5(-a)^2次方=5的1/2Xlog5(-a)^2次方=5的log5(-a)^2x1/2次方=5的log5(-a)=-a
因为根号下3加2倍根号2等于根号2加1所以1/根号[3加2根号2]等于根号2-1所以log根号2-1底[根号2-1]=1所以log5底1=0完
=7^6-6LOG56再问:怎么得的再答:根号即为指数的分母12除以2得到所以是7的6次方第二个36可写成6的平方米得2倍的LOG56(对不起上面写出成了6倍)即7^6-2LOG56
(log3^4+log5^2)(log2^9+log2^根号3)=(lg4/lg3+lg2/lg5)(lg9/lg2+lg根号3/lg2)=(2lg2*lg5+lg2*lg3)/lg3*lg5*(lg