急 求 (log3 2+log9 2)-(log4 3+log8 3)求 (log3 2+log9 2)-(log4 3+log8 3)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/13 00:31:37
急 求 (log3 2+log9 2)-(log4 3+log8 3)
求 (log3 2+log9 2)-(log4 3+log8 3)
答:
(log3 2+log9 2)-(log4 3+log8 3)
=log3(2)+log9(2)-log4(3)-log8(3)
=log3(2)+log3(2)/log3(9)-log3(3)/log3(4)-log3(3)/log3(8)
=log3(2)+(1/2)log3(2)-1/[2log3(2)]-1/[3log3(2)]
=(3/2)log3(2)-(5/6)/log3(2)
怀疑中间不是减号,而是乘号:
(log3 2+log9 2)×(log4 3+log8 3)
=[log3(2)+log9(2)]×[log4(3)+log8(3)]
=[log3(2)+log3(2)/log3(9)]×[log3(3)/log3(4)+og3(3)/log3(8)]
=[log3(2)+(1/2)log3(2)]×{1/[2log3(2)]+1/[3log3(2)]}
=[(3/2)log3(2)]×[(5/6)/log3(2)]
=5/4
=(lg2/lg3+lg2/lg9)-(lg3/lg4+lg3/lg8)
=(lg2/lg3+lg2/2lg3)-(lg3/2lg2+lg3/3lg2)
=3lg2/2lg3-5lg3/6lg2
急 求 (log3 2+log9 2)-(log4 3+log8 3)求 (log3 2+log9 2)-(log4 3+log8 3)
log3*2/log9*4
log3*2/log9*4=?
求(log2^3+log8^9)(log3^4+log9^8+log3^2)的值
log3 5-log3 15+1/2log9 27 的值
求x,y值.6log9^x+3log27^y=8log3^x+2log9^y=2
求(log3^2 + log9^2)×(log4^3 + log8^3)的值.请给出过程,谢谢!
(log3 2)+log9 2)*(log4 3+log8 3)+(log3 3^1/2)^2+ln根号e-lg1
【(log4)^3+.(log8)^3】【.(log3)^2+.(log9)^2】=几啊
化简此式(log4 3+log8 3)×(log3 2+log9 2)
为什么log9(2)=log3(2)/2如题
数学指对数方程.1.【log3(x)】平方+log9(3x)=2
已知Log9(8)=a,则Log3(2)=?用a表示
(log3 2+log9 2)*(log4 3+log8 3)求值
化简(log4(3)+log8(3))(log3(2)+log9(2))
(log3^2 + log9^4)×(log4^3 + log8^3)
|log3(5)-2|+log9(25)+(1/32)^1/5
计算log9底8分之log3底2