Question

2^x+2^x+1=24then find the value of x

Answer 1

2^x + 2^(x + 1) = 24

=> 2^x + [ ( 2^x ) × 2] = 24

=> 2^x [ 1 + ( 1 × 2)] = 24

=> 2^x(3) = 24

=> 2^x = 24/3

=> 2^x= 8

=> 2^x = 2^3



If bases are equal, powers are also equal,


x = 3



$.$

Answer 2

${2}^{x} + {2}^{x} + 1 = 24 \\ {4}^{x} + 1 = 24 \\ {4}^{x} = 24 - 1 = 23$