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kali 2 tiap ruas
2.²log (2x - 3) - ²log (2x - 3 / 2) = 2
2.²log (2x - 3) - ²log (2x - 3 / 2) = ²log 4
2.²log (2x - 3) = ²log 4 + ²log (2x - 3 / 2)
2.²log (2x - 3) = ²log (4x - 6)
²log (2x - 3)² = ²log (4x - 6)
²log (4x² - 12x + 9) = ²log (4x - 6)
4x² - 12x + 9 = 4x - 6
4x² - 16x + 15 = 0
(2x - 5) (2x - 3) = 0
x = 5/2 , 3/2
setelah disubstitusi 3/2 tidak memenuhi persamaan maka
x = 5/2 atau 2,5
²log (2x-3) - 1/2 * ²log (x-3/2) = 1