作业帮(log(2)(x))^3-4(log(4)(x))^2+log(16)(x)=0
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 16:17:34
x10Ec+ T\ihDlM-QQ@( GAo|;)SQ::
ݵd0R_t2M~=m 0w"T;ȁV Ec#Vଷ⾜ zw=2&Ȕ$,89
}ԛc < .v,!G*LвOqZU
(log(2)(x))^3-4(log(4)(x))^2+log(16)(x)=0
(log(2)(x))^3-4(log(4)(x))^2+log(16)(x)=0
(log(2)(x))^3-4(log(4)(x))^2+log(16)(x)=0
令a=log2(x)
log4(x)=lgx/lg4=lgx/2lg2=(1/2)lgx/lg2=(1/2)log2(x)=a/2
同理,log16(x)=lgx/4lg2=a/4
所以a^3-4(a/2)^2+a/4=0
a(a^2-4a+1/4)=0
a^2-4a+1/4=0的根是(4±√15)/2
所以a=0,a=(4±√15)/2
a=log2(x)
x=2^a
所以x=1,x=2^[(4-√15)/2],x=2^[(4+√15)/2]
已知log（2）[log（3)(log(4) x)] = log(3) [log(4) (log(2) y)]=0,求x+y的值
log(0.5x)(2)-log(0.5x^3)(x^2)=log(0.5x^3)(4)
(log(2)(x))^3-4(log(4)(x))^2+log(16)(x)=0
log(2)(x)log(2)(4x)-3log(2)(x)-12=0
2 log(3x)= log 4 +log(6-x)怎么求...急
已知log(2){log(3)[log(4)(x)]}=5^0,则x=?
若log底数2[log底数3(log底数4)]若log底数2[log底数3(log底数4（x）)]=log底数3[log底数4(log底数2(y))]=log底数4[log底数2(log底数3z)]=0,则x+y+z=
4^[log(2)3+log(4)8]
log(2)9log(3)4等于
log(2)9×log(3)4
对数计算1.{log(4)（3）+ log(8) (3)} X {log(3)(2)+log(9)(2)}2.{log(2)(3)} X {log(3)(4)+log(9)(2)}3.(lg2)^+1g2X 1g5 +1g50
log(2)(x+4)=3^x
1/log（2）x+1/log（3）x+1/log（4）x=1,x=?
log（x+5）=log（x）+log（2） log（8）+log（x）=log（24） 2log（x）=log(2x)+log(3)
log 9 X/Y=1/2(log 3 X - log 3 Y) log 9 X/Y=1/4 3log 3 X =2log 3 Y find X and Y
解方程3log(x)4+2log(4x)4+3log(16x)4=0
试解关于x的不等式log(2)x+4log(3)x+12log(8)x+n·2^(n-1)·log(2^n)x
化简:(log^3 2+log^9 2)(log^4 3+log^8 3)