Verified answer

Propiedades:

log a^n = n(log a)

loga + logb = log (a.b)

---> logx = log2 + 2log(x - 3)

logx = log2 + log(x - 3)²

logx = log 2(x - 3)²

x = 2(x - 3)²

x = 2(x² - 6x + 9)

x = 2x² - 12x + 18

2x² - 13x + 18 = 0..........factorizamos

2x..............-9

x................-2

(2x - 9)(x - 2) = 0

x = 9/2 ........v........x = 2,.... pero: log (x - 3) = log (2 - 3) = log -1.........el logaritmo de un numero negativo no existe.

---> x = 9/2 = 4.5 .............Solucion