ABC26GN2039 · Logarithms

Subject: General Aptitude · Chapter: Logarithms · Exam: 2007 · Marks: · Difficulty:

If $\log _{2}\left[\log _{3}\left(\log _{2} x\right)\right]=1$, then $x$ is equal to :
(a)0
(b)12
(c)128
(d)512
Answer
Answer (as printed): D
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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