ABC26GN2023 · Logarithms

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

If $\log _{8} x=\frac{2}{3}$, then the value of $x$ is
(a)$\frac{3}{4}$
(b)$\frac{4}{3}$
(c)3
(d)4
Answer
Answer (as printed): D
Explanation
$\log _{8} x=\frac{2}{3} \Rightarrow x=8^{2 / 3}=\left(2^{3}\right)^{\frac{2}{3}}=2^{\left(3 \times \frac{2}{3}\right)}=2^{2}=4$.

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

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