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if \log_ba=\left ( \frac{\log_cb}{\log_ca} \right )^k, then value of k is

Option: 1

0


Option: 2

1


Option: 3

-1


Option: 4

None of these


Answers (1)

\log_ba=\left ( \frac{\log_cb}{\log_ca} \right )^k

\frac{\log_cb}{\log_ca}=\log_ab

\\\log_ba=\left (\log_ab \right )^k\\\log_ba=\frac{1}{\log_ab}\\k=-1

 

Posted by

Ramraj Saini

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