If log ₂ [log ₃ (log ₂ x)]=1, then x is equal to : · ABC26GN2039
Subject: General Aptitude · Chapter: Logarithms · Exam: M.B.A. 2007
If $\log _{2}\left[\log _{3}\left(\log _{2} x\right)\right]=1$, then $x$ is equal to :
Answer
Explanation
$\log _{2}\left[\log _{3}\left(\log _{2} x\right)\right]=1 \Rightarrow \log _{3}\left(\log _{2} x\right)=2^{1}=2 \Rightarrow \log _{2} x$ $=3^{2}=9 \Rightarrow x=2^{9}=512$.
Explanation as extracted from the printed page; notation may be imperfect.
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