If \( a, b \) are positive real numbers, show that the sequence \( \log a, \log \left(\frac{a^{2...

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If \( a, b \) are positive real numbers, show that the sequence \( \log a, \log \left(\frac{a^{2}}{b}\right), \log \left(\frac{a^{3}}{b^{2}}\right) \), \( \log \left(\frac{a^{4}}{b^{3}}\right), \ldots \) is an A.P. Also find its general term.
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