Question

Himpunan Penyelesaian 2 log (x² - 8x + 31) = 4 adalah...

Answer 1

Verified answer

²log(x² - 8x + 31) = 4
²log(x² - 8x + 31) = ²log2⁴
²log(x² - 8x + 31) = ²log16

x² - 8x + 31 = 16
x² - 8x + 31 - 16 = 0
x² - 8x + 15 = 0
(x - 5)(x - 3) = 0

x - 5 = 0
x = 5

x - 3 = 0
x = 3

HP = {3, 5}

Answer 2

Verified answer

²log(x² - 8x + 31) = 4
²log(x² - 8x + 31) = ²log2⁴
⇔ x² - 8x + 31 = 16
⇔ x² - 8x + 31 - 16 = 0
⇔ x² - 8x + 15 = 0
⇔ (x - 3)(x - 5) = 0
⇔ x = 3   atau   x = 5

HP : {3 , 5}