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

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,

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