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
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/11 22:04:17
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)]等于0,则b 分之a的值为?
log_3[log_4(log_5(a))] = 0 (1)
log_4[log_3(log_5(b))] = 0 (2)
(1) => log_4(log_5(a)) = 1
=> log_5(a) = 4
=> a = 5^4
(2) => log_3(log_5(b)) = 1
=> log_5(b) = 3
=> b = 5^3
所以,a/b = 5
式中,log_5(a)表示以5为底的对数,5^3表示5 的三次方
log_4[log_3(log_5(b))] = 0 (2)
(1) => log_4(log_5(a)) = 1
=> log_5(a) = 4
=> a = 5^4
(2) => log_3(log_5(b)) = 1
=> log_5(b) = 3
=> b = 5^3
所以,a/b = 5
式中,log_5(a)表示以5为底的对数,5^3表示5 的三次方
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
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9为底的3次方等于多少
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3的对数×log以27为底125的对数
log以3为底12+log以9为底36-log以27为底512的对数
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
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
log以4为底数27的对数乘log以5为底8的对数乘log以3为底25的对数
(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