Solve exponential equation: 2^x * 2^x-2= √2 (picture included)

ANSWER

x = 5/4

EXPLANATION

   

Note that  so 
Note that on the left-hand side, we can use exponent properties for multiplying two powers of the same base together: 

   

We can now equate the exponents because both sides of the equation are of the same base with no other terms.

   

The answer is x = 5/4. We can confirm this by using this value in the original equation to get a true statement.

Hi there!

Th' Eqⁿ is :-





Equating the Exponent :-

Cuz' both sides of the equation have th' same base with no other terms.



Hence,
The required answer is x =

~ Hope it helps!