Question

Solve the following:
log (x + 1) + log (x - 1) = log 48

Answer 1

log (x + 1) + log (x - 1) = log 48
⇒ log {(x + 1)(x - 1)} = log 48
⇒ log (x² - 1) = log 48
⇒ x² - 1 = 48
⇒ x² = 49
⇒  x = 7 ...(neglecting the negative value).