A Nice Math Olympiad Exponential equation | How to Simplify Olympiad problem?

[@KW-gb9cd]

3(3^3x) = 3^3, 3^(3x + 1) = 3^3, 3x + 1 = 3, 3x = 2, x = 2/3.

[@walterwen2975]

3(27^x) = 27, 27^x = 9, 3^3x = 3^2, 3x = 2; x = 2/3

[@gelbkehlchen]

Solution:
27^x+27^x+27^x = 27 ⟹
3*27^x = 27 |/3 ⟹
27^x = 9 ⟹
3^(3x) = 3² |because of the same base: 3x = 2 |/3 ⟹ x = 2/3

[@thebasisti2482]

2/3

[@KantGow]

x=2/3

[@arthurgilbert1072]

Too easy, I did it in my head,

[@digbycrankshaft7572]

Very long-winded method

[@ChavoMysterio]

27ⁿ+27ⁿ+27ⁿ=27
3(27ⁿ)=27
27ⁿ=9
3³ⁿ=3²
3n=2
n=⅔ ❤

[@choyjj5354]

2/3

[@bpp2006able]

X=2/3

[@AuthorArvindKrMishra]

2/3

[@adgf1x]

x=2/3