log4(3)等于
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4为底吗?再问:en再答:log4^25=lg4/lg25=2lg2/2lg5=lg2/lg5=(1-lg5)/lg5=1/lg5-1再问:抱歉我打错了应是LOG4^15还是4为底再答:log4^15
我记得对数函数loga^n中n的定义域是n>0,零和负数没有对数的;再问:a的定义域是a>1,没有规定n再答:函数y=loga^n,其中a是常数,a>0且a不等于1n才是定义域,定义域是{x︳x>0}
由log4(3x+1)=log4x+log4(3+x)得log4(3x+1)=log4[x(3+x)]∴3x+1>0x>03+x>03x+1=x(3+x)∴x>−13x>0x>−3x=±1∴x=1
log(9/4)=log(3/2)^2=2*log(3/2)
应运换底公式㏒aN=(㏒bN)/(㏒ba)将上述式子转换(Log43Log83)*(Log32Log92)=[log43(log43)/(log48)]×[log32(log32/log39)]=(l
=3/2+1/2=21、log48=log2²2³=3/2log1/93=log3^(-2)3=-1/22、换底公式log48=lg8/lg4=3lg2/(2lg2)=3/2log
log4(3)=log2(3)/log2(4)=log2(3)/2=1/2*log2(3)=log2(根号3)再问:1/2*log2(3)=log2(根号3)这一步怎么说再答:根据公式:nloga(b
log43*log45=log4*43*5=log1615
解log(4)1/2=1/2log(2)1/2=1/2log(2)2^-1=-1/2log(2)2=-1/2
log43=log2^23=1/2log23=p/2
log4(1+√2+√3)+log4(1+√2-√3)=log4[(1+√2+√3)(1+√2-√3)]=log4[(1+√2)^2-(√3)^2]=log4[3+2√2-3]=log4(2√2)=l
log4(9)=2*1/2log2(3)=log2(3)log3(4)=2log3(2)log9(2)=1/2log3(2)[log2(3)+log4(9)][log3(4)+log9(2)]=2lo
4^3/4=(2^2)^3/4=2^(2*3/4)=2^3/2
=log22的(-4)次方+log2²2³=-4+3/2=-5/2再问:额谢谢再答:请采纳,谢谢
X=㏒4(3)=1/2㏒2(3)=㏒2(√3),∴2^X=√32^-X=1/2^X=1/√3,∴原式=(√3-1/√3)^2=3-2+1/3=4/3.
log4(16)=2log3(4)*log4(8)*log8(m)=log3(m)=2m=9再问:Thatyou,goodluck再问:lg8+3lg5=____答案不重要,过程,谢谢
1.403677461
log4^2=2log4=2*0.6021(我只拿四个小数位)=1.2042
log3(4)×log4(3)×log3(m)=log4(16)log3(4)×[1/log3(4)]×log3(m)=log4(16)log3(m)=log4(16)=log44^2=2m=3^2=
因为(log9(8))=(3/2)(ln2/ln3)(log4(3根号3))=(1/3)(ln3/ln2)所以(log9(8))*(log4(3根号3))=1/2再问:不对哦,这的是错误答案·····