Please solve this question 🙏

Asked by nishabr7 | 27th Sep, 2018, 08:03: PM

Expert Answer:

8 × 22x + 4 × 2x + 1 = 1 + 2x
8 × 22x + 4 × 2x × 2 = 1 + 2x
Let 2x = m
8m2 + 8m = 1 + m
8m2 + 7m - 1 = 0
Solving this using factorisation we get
(m + 1)(8m - 1) = 0
m = -1 or m = 1/8
2x = -1 or 2x = 2-3 
As 2x ≠ -1 hence, 2x = 2-3 then x = -3

Answered by Sneha shidid | 28th Sep, 2018, 10:04: AM