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4^x - 1/4^x = 3/2
4^x = y y > 0
y - 1/y = 3/2
2y - 2/y = 3
2y² - 3 y - 2 = 0
D = 9 + 16 = 25
y = (3 - 5)/4 = - 1/2 nie pasuje
y = (3 + 5)/4 = 2
lub
2y - 2/y = 3 ⇔ 4 - 1 = 5
2y = 4 => y = 2
2/y = 1 => y = 2
4^x = 2
2^(2x) = 2
2x = 1
x = 1/2