Question

Plz solve this, step-by-step :

Answer 1

Answer:

Step-by-step explanation:

Refer to this attachment

Please mark brainiliest

Answer 2

Answer:

$\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}$

Step-by-step explanation:

$2^{x^{2}} = \dfrac{1×8^{x}}{4}$

=>$2^{x^{2}} = 2^{-2}×2^{3x}$

=>$2^{x^{2}} = 2^{3x-2}$

$\large\red{\boxed{ a^{m}×a^{n}=a^{m+n}}}$

On comparing, we have:

=>$x^{2} = 3x-2$

=>$x^{2}-3x+2=0$

On Factorising:

=>$x^{2}-x-2x+2=0$

=>$x(x-1) -2(x-1) =0$

=>$(x-2) (x-1) =0$

Therefore x = 2,1

$\huge\green{\boxed{Hence\:\: x =1,2}}$