rozwiąż równania [2^17]*4-[16^4]*3=5*([4^7]*x-3*[2^17]) [27^3]*2x-[3^9]=[3^10]*x+2*[3^9] legenda [x^y]- x do potęgi y

[2^17]*4-[16^4]*3=5*([4^7]*x-3*[2^17]) [ 2¹⁷]*2² - [ (2)⁴]⁴*3 = 5*[(2²)⁷*x - 3*(2¹⁷)] 2¹⁹ - 2¹⁶*3 = 5*[ 2¹⁴*x - 3*2¹⁷] 2¹⁹(2³ -3) = 5*2¹⁴*(x - 3*2³) 2¹⁹*(8-3) = 5*2¹⁴(x -3*2³) 2¹⁶*5 = 5* 2¹⁴( x -24) /:5*2¹⁴ 2² = ( x -24) ( x -24) = 2² x -24 = 4 x = 24 + 4 x = 28 [27^3]*2x - [3^9] = [3^10]*x + 2*[3^9] [(3³)³]*2x - [3⁹] = [ 3¹°]*x + 2*[3⁹] 3⁹*2x -3⁹ = 3⁹(3x + 2) 3⁹(2x -1) = 3⁹(3x +2) /:3 do potęgi 9 2x - 1 = 3x +2 2x -3x = 2 +1 -x = 3 x = -3