Question

Помогите решить уравнение.

Answer 1

$33 times {2}^{x - 1} - ( { {2}^{x - 1} )}^{2} = 2 \ zamena : {2}^{x - 1} = y \ 33y - {y}^{2} = 2 \ {y}^{2} - 33y + 2 = 0 \ d = 1089 - 4 times 1 times 2 = 1089 - 8 = 1081. : : : sqrt{d} = + - sqrt{1081} \ y = frac{33 + - sqrt{1081} }{2} \ {2}^{x - 1} = frac{33 + - sqrt{1081} }{2} \ {2}^{x} = 33 + - sqrt{1081} \ x = log_{ {2} }(33 + - sqrt{1081} )$