Question

2^2x+1=17×2^x-2^3
solve the value for x​

Answer 1

2^(2x+1) - (17)(2^x) + 8 = 0

2*2^(2x) - (17)(2^x) + 8 = 0

Let a = 2^x 2a² - 17a + 8 = 0

(2a - 1)(a - 8) = 0

2a - 1 = 0 2(2^x) - 1 = 0

2^(x + 1) - 1 = 0

2^(x + 1) = 1

2^(x + 1) = 2^0 x + 1 = 0

x = -1