Question

Solve For x:
log (x + 2) + log (x - 2) = log 5​

Answer 1

Answer:

3

Step-by-step explanation:

⇒ log (x + 2) + log (x - 2) = log 5

  Using the properties of logarithms,

      log a  +   log b =  log ab

⇒ log (x + 2)(x - 2) = log 5

⇒ log (x² -2²) = log 5

⇒ x² - 2² = 5

⇒ x² - 4 = 5

⇒ x² = 5 + 4 = 9

⇒ x = √9

⇒ x = 3

 Required value of x is 3