Question

La solución de la ecuación log x – log (x-1) = log 2 es:

Answer 1

Log x - Log (x - 1) = Log 2

Log (x) - Log (x - 1) = Los (2)

Log10 (x) - Log10 (x - 1) = Log10 (2)

Log10 (x) / (x - 1) = Log10 (2)

x / (x - 1) = 2

(x - 1) * x/ (x - 1) = 2 (x - 1)

x = 2 (x - 1)

x = 2x - 2

x - 2x = - 2

- x = - 2

- 1 (- x) = - 1 (- 2)

x = 2