Question

If $2^x = 4^y =8^z$ and $1/2x + 1/4y+1/8z = 4$, find the value of x.

Answer 1

2^x=2^2y=2^3z
x=2y=3z=k(let)
x=k,y=k/2,z=k/3
(1/2k)+(2/4k)+(3/8k)=4
find k from here