Question

please solve

2^x+2^x+2^x = 192
Find the value of x

Answer 1

2^x +2^x +2^x=192
3×2^x=192
2^x=64
2^x =2^6
x=6.

Answer 2

solution

to find the value x

given that 2∧x + 2∧x + 2∧x=192

let 2∧x=y

⇒y+y+y=192

⇒3y=192

by dividing booth side by 3

⇒ y=192/3

⇒y=64

then we substitute in

2∧x=y

⇒2∧x=64

2∧x=2∧6

⇒x=6

since from the laws indices if the bases are equal then the power most also be the same

⇒x=6