KnowledgeBoat Logo
|

Mathematics

If log2 (x2 - 4) = 5, the value of x is :

  1. ±6

  2. 6

  3. -6

  4. ±12

Logarithms

17 Likes

Answer

Given,

⇒ log2 (x2 - 4) = 5

⇒ x2 - 4 = 25

⇒ x2 - 4 = 32

⇒ x2 = 32 + 4

⇒ x2 = 36

⇒ x = 36\sqrt{36}

⇒ x = ±6\pm 6.

Hence, Option 1 is the correct option.

Answered By

9 Likes


Related Questions