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para el problema, tenemos:
Log(9x-5) - Log(x-1) = 1
Log(9x-5 / x-1) = 1 , pero Log10 = 1 , entonces
Log(9x-5 / x-1) = Log10 , de aqui se tiene
9x-5 / x-1 = 10 , efectuando tenemos
9x-5 = 10x - 10
10 - 5 = 10x-9x
5 = x ------> x = 5
esta es la respuesta