MatemáticasBásico1 respuestas

5 - log(x ^ 2 + 4) - log(x - 2) = 3 + log(x - 2) me pueden resolver esto rápido?

5 - log(x ^ 2 + 4) - log(x - 2) = 3 + log(x - 2) me pueden resolver esto rápido? Plisss.

2Agu221994

En resumen

5 - log(x² + 4) - log(x - 2) = 3 + log(x - 2) 2 - log(x² + 4) = 2log(x - 2) 2 - log(x² + 4) = log (x - 2)² 2 - log(x² + 4) = log(x² - 4x + 4) 2 = log(x² - 4x + 4) + log(x² + 4) 2 = log[(x² - 4x + 4)(x² + 4)] log10² = log[(x² - 4x + 4)(x² + 4)] 100 = (x² - 4x + 4)(x² + 4).

Mejor respuesta

Mena30

4

5 - log(x² + 4) - log(x - 2) = 3 + log(x - 2)

2 - log(x² + 4) = 2log(x - 2)

2 - log(x² + 4) = log (x - 2)²

2 - log(x² + 4) = log(x² - 4x + 4)

2 = log(x² - 4x + 4) + log(x² + 4)

2 = log[(x² - 4x + 4)(x² + 4)]

log10² = log[(x² - 4x + 4)(x² + 4)]

100 = (x² - 4x + 4)(x² + 4).