State, true or false :

log₂ 8 = 3 and log₈ 2 = $\dfrac{1}{3}$.

Given,

⇒ log₂ 8 = 3

⇒ 2³ = 8

⇒ 8 = 8, which is true.

Given,

⇒ log₈ 2 = $\dfrac{1}{3}$

⇒ $8^{\dfrac{1}{3}}$ = 2

⇒ $(2^3)^{\dfrac{1}{3}}$ = 2

⇒ 2 = 2, which is true.

Hence, the statement "log₂ 8 = 3 and log₈ 2 = $\dfrac{1}{3}$" is True.