logo2 x <3

It looks like you meant log base 2 of x: log₂ x < 3.

• Domain: x > 0
• Since the base is > 1, the log is increasing, so exponentiate both sides: x < 2³ = 8
• Combine with domain: 0 < x < 8

Solution: x ∈ (0, 8)

If you meant a different expression, let me know.