Find x, if : √2^x+3 = 16

Given, ⇒ Squaring both sides, we get : ⇒ 2 x + 3 = 16 2 ⇒ 2 x + 3 = (2 4 ) 2 ⇒ 2 x + 3 = 2 8 ⇒ x + 3 = 8 ⇒ x = 8 - 3 = 5. Hence, x = 5.

Mathematics

18 Likes

Given,

⇒ $\sqrt{2^{x + 3}} = 16$

Squaring both sides, we get :

⇒ 2^{x + 3} = 16²

⇒ 2^{x + 3} = (2⁴)²

⇒ 2^{x + 3} = 2⁸

⇒ x + 3 = 8

⇒ x = 8 - 3 = 5.

Hence, x = 5.

Answered By

13 Likes