Respuesta:
x = 9
Explicación paso a paso:
[tex] log_{5}(3x - 2) - log_{5}(x - 4) = 1 \\ log_{5} \frac{3x - 2}{x - 4} = 1 \\ \frac{3x - 2}{x - 4} = 5 \\ 3x - 2 = 5(x - 4) \\ 3x - 2 = 5x - 20 \\ 20 - 2 = 5x - 3x \\ 18 = 2x \\ x = 9[/tex]
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Respuesta:
x = 9
Explicación paso a paso:
[tex] log_{5}(3x - 2) - log_{5}(x - 4) = 1 \\ log_{5} \frac{3x - 2}{x - 4} = 1 \\ \frac{3x - 2}{x - 4} = 5 \\ 3x - 2 = 5(x - 4) \\ 3x - 2 = 5x - 20 \\ 20 - 2 = 5x - 3x \\ 18 = 2x \\ x = 9[/tex]