Materi persamaan Logaritma Kelas X Jawab dengan langkah dan cara

Bab Logaritma
Matematika SMA Kelas X

^ = pangkat

5] log² x - log x^3 + 3 = 0
log² x - 3 . log x + 3 = 0

◎◎ log x = p ◎◎

p² - 3p + 3 = 0
a = 1; b = -3; c = 3

D = b² - 4ac
D = (-3)² - 4 . 1 . 3
D = 9 - 12
D = -3

Karena D < 0, maka tidak ada penyelesaian

HP = { }

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6] 4^(log x) - 3 . 2^(1 + log x) + 8 = 0
2^(2 . log x) - 3 . 2^1 . 2^(log x) + 8 = 0

◎◎ 2^log x = p ◎◎

p² - 6p + 8 = 0
(p - 2) (p - 4) = 0
p - 2 = 0
p = 2

p - 4 = 0
p = 4

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2^log x = p
2^log x = 2^1
log x = 1
x = 10^1
x = 10

2^log x = p
2^log x = 2²
log x = 2
x = 10²
x = 100

HP = { 10, 100 }