A Nice Radical Equation Maths Olympiad | Solving Exponential Problem With Radical | Find x

A Nice Radical Equation Maths Olympiad | Solving Exponential Problem With Radical | Find x

[@ahmadhabibi3348]

x^1/18=3^1/x log a ^b = log c ^d b log a = d log c 1/18.log x = 1/x log 3 x log x = 18 log 3 log x ^x =log 3^18 x^x = 3^18 = ((3^2)^3^2) x = 3^2 = 9 end

[@walterwen2975]

A Nice Radical Equation Math Olympiad: ¹⁸√x = ˣ√3; x = ? (¹⁸√x)¹⁸ˣ = (ˣ√3)¹⁸ˣ, xˣ = 3¹⁸ = (3²)⁹ = 9⁹; x = 9 Answer check: ¹⁸√x = ¹⁸√9 = 3²⸍¹⁸ = ⁹√3 = ˣ√3; Confirmed Final answer: x = 9