Question

$3*9^{x} +11*3 ^{x} textless$4

Answer 1

3 • 9^х + 11 • 3^х = 4
3 ^ Х = а
3а^2 + 11а - 4 = 0
D = 121 + 48 = 169 = 13^2
a1 = ( - 11 + 13 ) : 6 = 1/3
a2 = ( - 11 - 13 ) : 6 = - 4 ( < 0 )
3 ^ x = 1/3
X = - 1