已知log2(log3(log4x))=0,且log4(log2y)=1.求根号x*y^3/4的值在线等啊.

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 21:12:32
已知log2(log3(log4x))=0,且log4(log2y)=1.求根号x*y^3/4的值在线等啊.已知log2(log3(log4x))=0,且log4(log2y)=1.求根号x*y^3/

已知log2(log3(log4x))=0,且log4(log2y)=1.求根号x*y^3/4的值在线等啊.

已知log2(log3(log4x))=0,且log4(log2y)=1.求根号x*y^3/4的值在线等啊.

已知log2(log3(log4x))=0,且log4(log2y)=1.求根号x*y^3/4的值在线等啊.
答:
log2(log3(log4x))=0
log3(log4x)=1
log4x=3
x=4^3=64
log4(log2y)=1
log2(y)=4
y=2^4=16
(√x)*y^(3/4)
=(√64)*(2^4)^(3/4)
=8*8
=64

log2(log3(log4(x)))=0
log3(log4(x))=1
log4(x)=3
x=4^3=64
log4(log2(y))=1
log2(y)=4
y=2^4=16
x^(1/2)*y^(3/4)=8*8=64