Question

log(x – 3) + 2 = log(x + 1) + log5​

Answer 1

Respuesta:

x = 61 / 19

Explicación paso a paso:

log (x - 3) + 2 = log (x + 1) + log 5​

log (x - 3) + 2(1) = log (x + 1) + log 5​

Reemplazar:  log 10 = 1

log (x - 3) + 2(log 10) = log (x + 1) + log 5​

Utilizar:  log aˣ = xlog a

log (x - 3) + log 10² = log (x + 1) + log 5​

Utilizar:  log ab = log a + log b

log [(x - 3)(10²)] = log [(x + 1)(5)]

(x - 3)(10²) = (x + 1)(5)

100(x - 3) = 5(x + 1)

20(x - 3) = (x + 1)

20x - 60 = x + 1

20x - x = 1 + 60

19x = 61

x = 61 / 19