Question

If 2^(x) = 4^(y) = 8^(z) and 1/(2x) + 1/(4y) + 1/(42) = 4
then the value of x is​

Answer 1

Step-by-step explanation:

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

Ans = 7/16

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