Target Exam

CUET

Subject

General Aptitude Test

Chapter

Numerical Ability

Topic

Number System

Question:

If $\log_8 X=2/3$, then the value of $X$ is:

Options:

3/4

4/3

4/1

1/4

Correct Answer:

4/1

Explanation:

The correct answer is Option (3) → 4/1

Given:

$\log_{8} X = \frac{2}{3}$​

Convert to exponential form:

$X = 8^{2/3}$

Now,

$8 = 2^3$

$8^{2/3} = (2^3)^{2/3} = 2^2 = 4$

So,

$X = 4 = \frac{4}{1}$