Comment résoudre cette Equation ? | Olympiad maths

[@key_board_x]

You can immediatly use Ln instead of modify power
5^(x + 6) = 6^(x + 5)
Ln[5^(x + 6)] = Ln[6^(x + 5)]
(x + 6).Ln(5) = (x + 5).Ln(6)
x.Ln(5) + 6.Ln(5) = x.Ln(6) + 5.Ln(6)
x.Ln(5) - x.Ln(6) = 5.Ln(6) - 6.Ln(5)
x.[Ln(5) - Ln(6)] = 5.Ln(6) - 6.Ln(5)
x = [5.Ln(6) - 6.Ln(5)] / [Ln(5) - Ln(6)]

[@BrunswickTchatchou]

Thank you sir🙏