If pqr 0 and p^{-x} = \frac{1}{q}, q^{-y} = \frac{1}{r}, r^{-z} = \frac{1}{p}, what is the value of the product xyz ?
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pqr !=0, p^-x = 1/q, q^-y = 1/r, r^-z = 1/p
Taking log both sides,
-x(log p) = -log q,
-y(log q) = -log r,
-z(log r) = -log p
=> x = log q/ log p
=> y = log r/ log q
=> z = log p/ log r
multiplying x,y and z,
(x)(y)(z) = 1
Step-by-step explanation:
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