Question

(√2)^2 = 2^8 solve the exponent ​

Answer 1

Step-by-step explanation:

The value of x is 16.

Step-by-step explanation:

The given exponential equation,

$\sqrt{2} ^{x} \sqrt{2} ^{8}$

To find, the vaue of x = ?

∴

$\sqrt{2} ^{x} = 2^{8}$

⇒

$\sqrt{2} ^{x} = ( \sqrt{2} \times \sqrt{2} )^{8}$

⇒

⇒

[ ∵ ]

Equating the power, we get

x = 16

Hence, the value of x is 16.