Question

Tolong bantu soal mengenai persamaan logaritma
nilai x yang memenuhi ⁵log(x-1)=1-⁵log(x+3)

Answer 1

⁵log(x-1)=1-⁵log(x+3)
⁵log(x-1)=⁵log5 -⁵log(x+3)
⁵log(x-1) = ⁵log5/(x+3) ⇒ masing masing ⁵log habis
(x-1) = 5/(x+3)
(x-1)(x+3) = 5
x²+2x-3 = 5
x²+2x-8=0
(x-2)(x+4) = 0
x = 2 atau x = -4