If {log _k}x.,{log _5}k = {log _x}5,k ne 1,k | vedclass

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(d) ${\log _k}x.{\log _5}k = {\log _x}5$ $ \Rightarrow $ ${\log _5}x = {\log _x}5$

$ \Rightarrow $ ${\log _x}5 = {1 \over {{{\log }_x}5}}$ $\Righta

Vedclass · Accepted Answer

$(b)$ and $(c)$ both

Vedclass · Answer

(d) ${\log _k}x.{\log _5}k = {\log _x}5$ $ \Rightarrow $ ${\log _5}x = {\log _x}5$

$ \Rightarrow $ ${\log _x}5 = {1 \over {{{\log }_x}5}}$ $\Rightarrow $ $1 = - 2B = 0$

$ \Rightarrow $ ${\log _x}5 = \pm 1$

$ \Rightarrow $ ${x^{ \pm \,1}} = 5$ $ \Rightarrow $ $x = 5,\,{1 \over 5}$.

If ${\log _k}x.\,{\log _5}k = {\log _x}5,k \ne 1,k > 0,$ then $x$ is equal to

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