Penjelasan dengan langkah-langkah:

1.

⁵log(3x - 2) = 2........ᵃlogb = n, maka b = aⁿ

(3 x - 2) = 5²

3x - 2 = 25

3x = 25 + 2

3x = 27

x = 27/3

x = 9

2.

¹/²log(x² - 4x + 5) = -1

(x² - 4x + 5) = (1/2)⁻¹

(x² - 4x + 5) = 2

x² - 4x + 5 - 2 = 0

x² - 4x + 3 = 0

(x - 3)(x - 1) = 0

x - 3 = 0

x = 3

atau

x - 1 = 0

x = 1

HP = {1, 3}

³log(x² - 1) - ³log(5x + 5) = 0

syarat :

numerus harus lebih dari 0

(x² - 1) > 0

(x + 1)(x - 1) > 0

+ + + + | - - - - | + + + +

-------- -1 ---- -- 1 ---------

karena > 0 ambil daerah positif

x < -1 atau x > 1

5x + 5 > 0

5x > -5

x > -5/5

x > -1

³log(x² - 1) = ³log(5x + 5)

(x² - 1) = 5x + 5

x² - 5x - 1 - 5 = 0

x² - 5x - 6 = 0

(x - 6)(x + 1) = 0

x - 6 = 0

x = 6

atau :

x + 1 = 0

x = - 1 (tidak memenuhi)

HP = { 6 }