g) ^2log (2×+5) -2 ^2log 2x = 2

Bab Logaritma
Matematika SMA Kelas X

²log (2x + 5) - 2 . ²log 2x = 2
²log (2x + 5) - ²log (2x)² = 2
(2x + 5)/4x² = 2²
2x + 5 = 4 . 4x²
16x² - 2x - 5 = 0
(8x - 5) (2x + 1) = 0
8x - 5 = 0
8x = 5
x = 5/8

2x + 1 = 0
2x = -1
x = -1/2

syarat
2x > 0
x > 0

HP = { 5/8 }