5log2x²-5log(x+5)=1 berapa hasilnya

jawab

⁵log 2x² - 5 log (x+5) = 1

⁵log (2x²)/(x+5) = ⁵log 5

(2x²)/(x+5) = 5
2x² = 5(x+ 5)
2x² = 5x + 25
2x² - 5x = 25 ...}bagi 2
x² - 5/2 x = 25/2
(x - 5/4)² = 25/2 + 25/4 = 75/4
x- 5/4 = 1/2 √75
x - 5/4 = +- 5/2 √3
x1 = 5/4 + 5/2 √3 = 5/4 (1 + 2√3)
x2 = 5/4 - 5/2 √3 = 5/4 (1 - 2√3)

pembatas
2x² > 0  n  x+5 > 0
x > 0 n  x > - 5
x > 0

HP x= 5/4 (1 + 2√3)