Question

3*4^x-11*2^x=4 помогите решить срочно

Answer 1

$3 times {4}^{x} - 11 times {2}^{x} = 4 \ 3 times {4}^{x} -11 times {2}^{x} - 4 = 0 \ {2}^{x } = y \ 3 {y}^{2} - 11y - 4 = 0 \ d = {11}^{2} + 4 times 4 times 3 = 121 + 48 = 169 = {13}^{2} \ y1 = frac{11 + 13}{2 times 3} = 4 \ y2 = frac{11 - 13}{6} = frac{ - 2}{6 } = - frac{1}{3} ne : podhodit \ {2}^{x} = 4 \ {2}^{x } = {2}^{2} \ x = 2$