Question

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

Answer 1

Answer:

Let 2^x=4^y=8^z=k

then 2 = k^(1/x)

4 = k^(1/y) and 8 = k^(1/z)

Now,

8*4 = 32 = 2^5

k^(1/z).k^(1/y) = k^(5/x)

1/y + 1/z = 5/x

Solve

7/16