Question

if 2^x+1+4^x=8 then
find x​

Answer 1

Step-by-step explanation:

2^x+1 + 4^x = 8

2^x+1 + {(2)^2}^x = 8

2^x+1 + (2)^2x = 8

2^x+1 + (2)^2x = (2)^3

As the bases are same we will add the powers

x+1 + 2x = 3

x + 2x + 1 = 3

3x + 1 = 3

3x = 3 - 1

3x = 2

x = 2/3

Hope it helps you!!