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Verified answer
Log(4^x + a.2^x + a + 3) = log(2^(2x) + a.2^x + a + 3)Misal, 2^x = p, maka :
f(x) = log(p^2 + ap + a + 3)
Agar nilainya selalu real, maka Diskriminannya ≤ 0
a = 1, b = a, c = a + 3
b^2 - 4ac ≤ 0
a^2 - 4(1)(a + 3) ≤ 0
a^2 - 4a - 12 ≤ 0
(a - 6)(a + 2) ≤ 0
-2 ≤ a ≤ 6
untuk a