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Let a=(log)3(log)3 2. An integer k satis...

Let `a=(log)_3(log)_3 2.` An integer `k` satisfying `1<2^(-k+3^((-a)))<2,` must be less than ..........

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`a=log_3 log_3^2`
`3^(-a)=3^(-log_3 log_3^2)`
`=3^(log_3(log_3^2)^(-1)`
`=(log_3^2)^(-1)`
`=(log_2/log_3)^(-1)`
`=log3/log2=log_2^3`
`3^(-a)=log_2^3`
`1<2^(-k+log_2^3)<2`
...
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