Solve and include every step pls Solve and include every ste

Solve and include every step pls

Solve and include every step 4^x = 2^x^2 + 1

Solution

4^x = 2^(x^2+1)

make the bases on both sides same:

4^x = 2^(2x)

2^(2x) = 2^(x^2+1)

equate the exponents:

2x = x^2 + 1

x^2 -2x +1 =0

(x-1)^2 =0

x =1 , 1

Solution x=1,1