Question

State, true or false : log₂ 8 = 3 and log₈ = 2 = `1/3`

Answer 1

Consider the equation
log₂8 = 3
⇒ 2³ = 8                                ....(1)
Now consider the equation
log₈2 = `1/3`
⇒ `8^(1/3) = 2`

⇒ `(2^3)^(1/3) = 2 `                ...(2)

Both the equations (1) and (2) are correct.
Thus the given statements, log₂8 = 3 and log₈2 = `1/3` are true.