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  4. If x, y, z all are greater than unity and are in G.P., then (1/1 + log x), (1/+ 1 log y), (1/1 + log z) are in

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Q. If $x, y, z$ all are greater than unity and are in $G.P$., then $\frac{1}{1 + log x}, \frac{1}{+ 1 log y}, \frac{1}{1 + log z}$ are in

Sequences and Series

Solution:

As $x, y, z\in G.P$.
$\Rightarrow log x, log y, log z \in A.P$.
or $1 + log x, 1+ log y, 1 +log z \in A.P$.
or $\frac{1}{1 + log x}, \frac{1}{+ 1 log y}, \frac{1}{1 +log z} \in H.P.$