If log ₈ x=2/3, then the value of x is · ABC26GN2023

Subject: General Aptitude · Chapter: Logarithms

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.

Study loop for Logarithms