Mohon bantuannya yah ka Nomor 5 aja
Matematika
drezygio12
Pertanyaan
Mohon bantuannya yah ka
Nomor 5 aja
Nomor 5 aja
1 Jawaban
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1. Jawaban Anonyme
jawab
persamaan logaritma
⁴log x = 1/2. ²log x
²log √x = 1/2. ²log x
misal ⁴log x = ²log √x = a
1/2. ²log x = a --> ²log x = 2a
x= (2)²ᵃ
(⁴log x)²- ²log √x - 3/4 = 0
a² - a - 3/4 = 0 ....kalikan 4
4a² - 4a - 3 = 0
(2a - 3)(2a + 1) = 0
a = 3/2 atau a = - 1/2
(i) x = (2)²ᵃ
a = 3/2 --> x = (2)²⁽³/²) = 2³ = 8
a = -1/2 --> x = (2)²⁽⁻¹/²) = 2⁻¹ = 1/2
(ii) syarat pembatas x> 0
HP (i) n (ii) x = 8 atau x = 1/2
x1 + x2 = 8 + 1/2 = 8¹/₂