Questão com logaritmo!!?

(Vestibular Mauá) Resolva a equação (log(x-3))² - log (x-3) = 0

Eu resolvi assim:

(log(x-3))² - log(x-3)=0

2 log (x-3) - log(x-3)=0

log(x-3)=0

logx = 3

Está certo? Como resolver esta equação?

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