Question

solve ; 2^x+1 + 4^x = 8​

Answer 1

Answer:

2

Step-by-step explanation:

I am assuming that the equation is 4x - 2x+1 - 8 = 0

4x - 2(2x) - 8 = 0

(2x)2 - 2(2x) - 8 = 0

Let u = 2x. Then the equation becomes u2 - 2u - 8 = 0

(u - 4)(u + 2) = 0

u = 4 or u = -2

So, 2x = 4 or 2x = -2

Since 2x is positive for all x, we can disregard the equation 2x = -2.

Therefore, 2x = 4

2x = 22 x = 2