已知log2[log3(log4x)]=log3[log4(log2y)]=0,求x+y
人气:103 ℃ 时间:2019-10-01 08:14:51
解答
因为log2[log3(log4x)]=0
所以:log3(log4x)=1
进一步:
log4x=3
所以x=4^3=64,.
log3[log4(log2y)]=0
则有:
log4(log2y)=1
进一步:
log2y=4
所以:y=2^4=16.
则有:x+y=64+16=80.为什么log3(log4x)=1呀?设t=log3(log4x),根据题目条件有:log2t=0所以真数t=1.
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