Sweden| math Olympiad | How to Solve this Nice Radical Problem | Find value of X and Y 

Thanks sir

Thnk u sir for such a nice easy explanation

Sweden Math Olympiad: (√3)^√x - (√3)^√y = 18, x, y ϵR; x, y =? (√3)^√x > 18 > (√3)^√y, x > y > 0 18 = (9)(2) = (3²)(3 - 1) = 3³ - 3² = (√3)⁶ - (√3)⁴ = (√3)^√36 - (√3)^√16 (√3)^√x - (√3)^√y = 18 = (√3)^√36 - (√3)^√16; x = 36, y = 16 Answer check: (√3)^√x - (√3)^√y = 18; Confirmed as shown Final answer: x = 36, y = 16

Great algebraic exercise.

Excellent

Very nice