Problem 6. The number $x$ is such that $\log _{2}\left(\log _{4} x\right)+\log _{4}\left(\log _{8} x\right)+\log _{8}\left(\log _{2} x\right)=1$. Find the value of the expression $\log _{4}\left(\log _{2} x\right)+\log _{8}\left(\log _{4} x\right)+\log _{2}\left(\log _{8} x\right)$. If necessary, round the answer to 0.01.

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Problem 6. The number $x$ is such that $\log _{2}\left(\log _{4} x\right)+\log _{4}\left(\log _{8} x\right)+\log _{8}\left(\log _{2} x\right)=1$. Find the value of the expression $\log _{4}\left(\log _{2} x\right)+\log _{8}\left(\log _{4} x\right)+\log _{2}\left(\log _{8} x\right)$. If necessary, round the answer to 0.01. Answer. $\frac{5}{3}-\log _{4} 3 \approx 0.87$.