已知x满足等式log5[log3(log2x)]=0,求x的值如题

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已知x满足等式log5[log3(log2x)]=0,求x的值如题已知x满足等式log5[log3(log2x)]=0,求x的值如题已知x满足等式log5[log3(log2x)]=0,求x的值如题l

已知x满足等式log5[log3(log2x)]=0,求x的值如题
已知x满足等式log5[log3(log2x)]=0,求x的值
如题

已知x满足等式log5[log3(log2x)]=0,求x的值如题
log5[log3(log2x)]=0=log5(1)
所以log3(log2x)=1=loh3(3)
所以log2(x)=3
x=2³=8

log5[log3(log2x)]=0,则log3(log2x)=1,于是log2x=3,最后x=2的3次方=8

开第一层log5,得到:log3(log2x)=1
开第二层log3,得到:log2x=3
开第三层log2,得到:x=2^3=8