若log5[log3(log2x)]=0,则x的值为 ______.
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若log5[log3(log2x)]=0,则x的值为 ______.
![若log5[log3(log2x)]=0,则x的值为 ______.](/uploads/image/z/15579827-35-7.jpg?t=%E8%8B%A5log5%5Blog3%EF%BC%88log2x%EF%BC%89%5D%3D0%EF%BC%8C%E5%88%99x%E7%9A%84%E5%80%BC%E4%B8%BA+______%EF%BC%8E)
∵log5[log3(log2x)]=0
∴log3(log2x)=1
∴log2x=3
∴x=23=8,
故答案为 8.
∴log3(log2x)=1
∴log2x=3
∴x=23=8,
故答案为 8.
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