已知log2(log3(log4x))=log3(log4(log2y))=0,求x+y的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/23 04:37:38
已知log2(log3(log4x))=log3(log4(log2y))=0,求x+y的值已知log2(log3(log4x))=log3(log4(log2y))=0,求x+y的值已知log2(l

已知log2(log3(log4x))=log3(log4(log2y))=0,求x+y的值
已知log2(log3(log4x))=log3(log4(log2y))=0,求x+y的值

已知log2(log3(log4x))=log3(log4(log2y))=0,求x+y的值
有题目可得:
log3(log4x)=1
log4(log2y)=1
又可得到:
log4x=3 x=4^3=64
log2y=4 y=2^4=16
x+y=80

log2(log3(log4x))=log3(log4(log2y))=0,
∴log3(log4x)=log4(log2y)=1,
∴log4x=3,log2y=4
∴x=4^3=64,y=2^4=16
∴x+y=80