llog2=a,log3=b 求log12--5

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llog2=a,log3=b 求log12--5
已知 log2(3)=A log3(7)=B 试求log14(56)

运用换底log14(56)=log3(56)/log3(14)=log3(7*8)/log3(2*7)=〔log3(7)+log3(8)〕/〔log3(7)+log3(2)〕log3(2)=1/log

a=log3'2,b=In2,c=5'1/2,求a

解a=log3'2,b=In2,c=5'1/21/a=log2'31/b=log2'e1/c=1/5'1/21/b>1/ca

log2^3 =a log3^7 =b 求用a,b表达log14^56

答:ab=log2^7ab+1=log2^7+1=log2^14ab+3=log2^7+3=log2^56log14^56=(ab+3)/(ab+1)

已知log2=a log3=b 求log12的五次方的值

lg12=2lg2+lg3=2a+blg12^5=(2a+b)5

log3[log4(log5a)]=log4[log3(log5b)]=0求a/b等于几?

log3[log3(log5a)]=0log3(log5a)=1log5a=3a=625log4[log4(log5b)]=0log4(log5b)=1log5b=4b=125所以a/b=625/12

7log8^9=a log3^5=b 求lg2 lg3 lg5

7*(2/3)log2(3)=alog2(3)=3a/14log3(2)=14/(3a)log3(5)=blg2=log3(2)/log3(10)=log3(2)/[log3(2)+log3(5)]=

已知函数f(x)=log3(x/27 )*log3(3x),若函数f(x)+m=0有两根a,b,试求a乘b的值

(log3(x)-3)*(1+log3(x))+m=0log^23(x)-2log3(x)-3+m=0设x1=ax2=b则log3(a)+log3(b)=2=log3(a*b)a*b=3^2=9再问:

设a=log3π,b=log3根号3,c=log3根号2比较abc

点击图片就可以看清楚了,加油!

当lg2=a,lg3=b,求log3 ^4

当lg2=a,lg3=b,log3^4=2(lg2)÷lg3=2a/bb分之2a

log9(9a+b)=log3√ (ab),求4a+b 的最小值,

log9(9a+b)=log3√(ab),0.5log3(9a+b)=log3√(ab),log3√(9a+b)=log3√(ab),9a+b=ab,b=9a/(a-1),4a+b=4a+9a/(a-

log3(10)=a, log6(25)=b,求log4(45)的值

a=lg10/lg3=1/lg3lg3=1/alg25/lg6=b2lg5/lg(2*3)=b2(1-lg2)/(lg2+lg3)=b所以2-2lg2=blg2+blg3lg2=(2-b/a)/(b+

已知lg2=a,lg3=b,求log3 4与log2 12的值.

由lg2=a,lg3=b得log2(3)=b/a,log3(2)=a/b,所以log3(4)=2log3(2)=2a/blog2(12)=log2(4X3)=2+log2(3)=2+b/a再问:不太懂

log4(log5 a)=log3(log5 b)=1,求a/b.

log4(log5a)=1log5a=4a=5^4=625同理,b=5^3所以a/b=5

log9^5=a,log3^7=b,求log35^9=?

log9^5=a,log3^7=bLOG(3,7)=2LOG(9,7)=B==>LOG(9,7)=B/2lOG(35,9)=1/LOG(9,35)=1/(LOG(9,7)+LOG(9,5))=1/(B

log3(2)=a,3^b=5,用a,b表示log3(根号30)

因为3^b=5所以b=log(3)5所以log3(根号30)=1/2log3(30)=1/2log3(2*5*3)=1/2[log(3)2+log(3)5+log3(3)]=1/2(a+b+1)

log8 3=a,log3 5=b求lg5用ab表示

a=(lg3)/(lg8)b=(lg5)/(lg3)ab=lg8/lg5=(3lg2)/(lg5)=3(lg(10/5)/(lg5))=3(lg10-lg5)/lg5=3(1-lg5)/lg5所以lg

已知log2⒊=a,log3⒎=b,求log42(56)

a=lg3/lg2lg3=alg2b=lg7/lg3lg7=blg3=ablg2log42(56)=lg56/lg42=lg(2^3*7)/lg(2*3*7)=(3lg2+lg7)/(lg2+lg3+

对数运算已知lg2=a,lg3=b求log3^4

log3^4=lg4/lg3=2lg2/lg3=2a/

已知lg2=a,lg3=b求log3(4)

log3(4)=lg4/lg3=2lg2/lg3=2a/