Question

Kak tolong di kerjakan . mencar nilai x. soalnya fampang. poinnya gede. TOLONG

Answer 1

Verified answer

Bab Eksponensial
Matematika SMP Kelas IX

2^(2x - 3) . 2^(-x + 4) + 7 . 2^(x/2) = 4
2^(2x - x - 3 + 4) + 7 . 2^(x/2) = 4
2^(x + 1) + 7 2^(x/2) - 4 = 0

2^(x/2) = a
2a² + 7a - 4 = 0
(2a - 1) (a + 4) = 0
2a - 1 = 0   atau a + 4 = 0
2a = 1                a = - 4 (tidak memenuhi karena negatif)
a = 1/2 (memenuhi )

2^(x/2) = 1/2
2^(x/2) = 2^-1
x/2 = -1
x = -2