(log以4为底3+log以8为底3)×(log以3为底5+log以9为底5)×(log以5为底2+log以25为底2)
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/02 22:40:17
(log以4为底3+log以8为底3)×(log以3为底5+log以9为底5)×(log以5为底2+log以25为底2)求值
工具1 log(a^n)(M)=(1/n)log(a)(M)(n∈R)
工具2 log(a)(N)=log(b)(N)/log(b)(a)= lnN/lna=lgN/lga
工具2‘ log(a)b×log(b)c×log(c)a=1
(log以4为底3+log以8为底3)×(log以3为底5+log以9为底5)×(log以5为底2+log以25为底2)
=(1/2log以2为底3+1/3log以2为底3)×(log以3为底5+1/2log以3为底5)×(log以5为底2+1/2log以5为底2)
=(5/6log以2为底3)×(3/2log以3为底5)×(3/2log以5为底2)
=5ln3/6ln2*3ln5/2ln3*3ln2/2ln5=15/8
工具2 log(a)(N)=log(b)(N)/log(b)(a)= lnN/lna=lgN/lga
工具2‘ log(a)b×log(b)c×log(c)a=1
(log以4为底3+log以8为底3)×(log以3为底5+log以9为底5)×(log以5为底2+log以25为底2)
=(1/2log以2为底3+1/3log以2为底3)×(log以3为底5+1/2log以3为底5)×(log以5为底2+1/2log以5为底2)
=(5/6log以2为底3)×(3/2log以3为底5)×(3/2log以5为底2)
=5ln3/6ln2*3ln5/2ln3*3ln2/2ln5=15/8
如果log以3为底[log以4为底(log以5为底的a次方)]等于log以4为底[log以3为底(log以5为底的b次方
计算:(log以4为底3的对数+log以8为底3的对数)(log以3为底2的对数+log以9为底2的对数)- log以½
(log以5为底根号2的对数×log以49为底81的对数)÷(log以25为底1/3的对数×log以7为底4的3次方根的
log以2为底的(log以3为底的(log以4为底的x))=log以3为底的(log以4为底的(log以2为底的y))=
log以2为底25乘log以3为底8乘log以5为底9=?用换底公式求
log以2为底25的对数乘以log以3为底4的对数乘以log以5为底9的对数
log以2为底25的对数乘log以3为底4的对数乘log以5为底9的对数=?
log以2为底25的对数+log以3为底4的对数+log以5为底9的对数
计算log以8为底16+log以2为底3*log以3为底2=?
log以5为底(3x-2)>log以5为底(x+1)
计算log以2为底25乘以log以3为底2√2乘以log以5为底9的结果为
计算(log以2为底的3+log以4为底的9+log以8为底的7+……+log以2^n为底的3^n)*log以9为底^n