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施裕18670053324：
[log3(4)+log根下3(2)][log2(9)+log4(根3)] -
17599闾敬
： [log3(4)+log根下3(2)][log2(9)+log4(根3)]=[2log3(2)+2log3(2)][2log2(3)+1/4log2(3)]=4log3(2)*9/4log2(3)=4*9/4*log3*log2(3)=9
施裕18670053324：
(log32+log92)?(log43+log83)=5454 -
17599闾敬
： (log32+log92)?(log43+log83)=(log32+1 2 log32)?(1 2 log23+1 3 log23)=log323 2 ?log235 6 =3 2 *5 6 =5 4 故答案为:5 4
施裕18670053324：
( - 1.8^0)*(1/3)^( - 2)+4^√9^3*√3+3log以3为底4的对数+log以2为底1/4的对数.计算 -
17599闾敬
： 解析:(-1.8^0)*(1/3)^(-2)+4^√9^3*√3+3log(3,4)+log(2,1/4)=1*9+(4^√9)^3*√3+3ln4/ln3-2=9+4^9*√3+3ln4/ln3-2=7+262144√3+3ln4/ln3=7+262144√3+6ln2/ln3
施裕18670053324：
计算(log43+log29)(log32 - log92) -
17599闾敬
： (log43+log29)(log32-log92)=(log(2)√3+log(2)9)(log32-log(3)√2)=log(2)9√3*log(3)√2=[(lg9√3)/lg2]*[(lg√2/lg3]=5/2[(lg3)/lg2]*1/2[lg2/lg3]=5/4
施裕18670053324：
(log2)2+log2*log50+1g25值 -
17599闾敬
：[答案] [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
施裕18670053324：
计算log2 6 - log2 3,lg5+lg2,log5 3+log5 1/3,log3 5 - log3 15 -
17599闾敬
： log2 6-log2 3=log2 (6÷3)=log2 2=1,lg5+lg2=lg(5*2)=lg10=1,log5 3+log5 1/3=log5 (3*1/3)=log5 1=0,log3 5-log3 15=log3 (5÷15)=log 3 (1/3)=-1
施裕18670053324：
log2[1+log3(1+4log3x)]=1 -
17599闾敬
： ∵log2[1+log3(1+4log3x)]=1,∴1+log3(1+4log3x)=2,∴1+4log3x=3,∴4log3x=2,∴log3x=1 2 ,解得x= 3 .
施裕18670053324：
计算(log25+log40.2)(log52+log250.5) -
17599闾敬
： =(log2,5+log2^2,0.2)(log5,2+log5^2,0.5)=(log2,5+0.5log2,0.2)(log5,2+0.5log5,0.5)=(log2,5+log2,根号5/5)(log5,2+log5,根号2/2)=log2,根号5•log5,根号2=log2,5^0.5•log5,2^0.6=lg5^0.5/lg2•lg2^0.5/lg5=0.5•0.5=0.25我也刚刚做这个闲着无聊百度下结果都不靠谱看你这么痛苦就帮你一下
施裕18670053324：
log4{2long3[1+long2(1+3long2x)]}=1/2 -
17599闾敬
： log4{2log3[1+log2(1+3log2x)]}=1/22log3[1+log2(1+3log2x)]=2 log3[1+log2(1+3log2x)]=11+log2(1+3log2x)=3 log2(1+3log2x)=21+3log2x=43log2x=3 log2x=1 x=2
施裕18670053324：
指数函数计算题化简 E=log (tan89°)+log (tan88°)+.+ log (tan1°) -
17599闾敬
：[答案] tan89=cot1 E=log(cot1)+log(cot2)+.+log(cot44)+log(tan45)+log(tan44)+...log(tan1) 首尾相加log(cot1)+log(tan1)=log(cot1*tan1)=0 log(tan45)=0 E=0
