ABC26GN2005 · Logarithms

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

If $\log _{\sqrt{8}} x=3 \frac{1}{3}$, find the value of $x$.
Answer
Answer (as printed):
Explanation
$\log _{\sqrt{8}} x=\frac{10}{3} \Leftrightarrow x=(\sqrt{8})^{10 / 3}=\left(2^{3 / 2}\right)^{10 / 3}=2^{\left(\frac{3}{2} \times \frac{10}{3}\right)}=2^{5}=32$.

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

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