If 2 [3 (2x ) ]=1, find the value of x. (M.B.A., 2005)

ABC26GN2008 · Logarithms

Subject: General Aptitude · Chapter: Logarithms · Exam: 2005 · Marks: · Difficulty:

If $\log_{2}\left[\log_{3}\left(\log_{2}x\right)\right]=1$, find the value of $x$. (M.B.A., 2005)

Answer

Answer (as printed):

Explanation

$$\log_{2}\left[\log_{3}\left(\log_{2}x\right)\right]=1 \Rightarrow \log_{3}\left(\log_{2}x\right)=2^{1}=2 \Rightarrow \log_{2}x=3^{2}=9.$$

Explanation as extracted from the printed page; notation may be imperfect.