If log_a x, log_b x, log_c x are in H.P.,then | vedclass

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(C) Given that $\log_a x, \log_b x, \log_c x$ are in $H.P.$Using the change of base formula,we can write these as $\frac{\log x}{\log a}, \frac{\log x

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$G.P.$

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(C) Given that $\log_a x, \log_b x, \log_c x$ are in $H.P.$Using the change of base formula,we can write these as $\frac{\log x}{\log a}, \frac{\log x}{\log b}, \frac{\log x}{\log c}$ are in $H.P.$Taking the reciprocal,we get $\frac{\log a}{\log x}, \frac{\log b}{\log x}, \frac{\log c}{\log x}$ are in $A.P.$This simplifies to $\log_x a, \log_x b, \log_x c$ are in $A.P.$By the property of logarithms,if $\log_x a, \log_x b, \log_x c$ are in $A.P.$,then $a, b, c$ must be in $G.P.$

If $\log_a x, \log_b x, \log_c x$ are in $H.P.$,then $a, b, c$ are in

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