Question

if 2powerx=4powery=powerz and 1/2x+1/4y+1/8z=4. Find the value of x

Answer 1

2^(x) = 4^(y) =8^(z)

convert all base in same variable

from this equation, we get 2^(x) = 2^(2x) = 2^(3x)

y =x/2 and z=x/3

put this value in second equation, we get

1/2x + 1/(4*x/2) + 1/(4*x/3)=4

1/2x + 1/2x + 3/4x = 4

by solving this we get, 7 = 16x

x = 7/16