Plz solve q 1& 2

Plz solve q 1& 2 Which •7 log. 86 holds gLK'd. real value Of Which the statement log" - - true.

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Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Base} \mathrm{of} \log \mathrm{is} \mathrm{not} \mathrm{clear} \mathrm{in} \mathrm{the} \mathrm{image} \mathrm{uploaded} \mathrm{by} \mathrm{you} , \mathrm{so} \mathrm{I}\hspace{0.17em}\mathrm{am} \mathrm{assuming} \\ \mathrm{first} \mathrm{question} \mathrm{is} : \\ \frac{{\log }_{\mathrm{\pi }}7}{{\log }_{6}7}={\log }_{\mathrm{a}}36 \\ \Rightarrow \frac{{\displaystyle \frac{1}{{\log }_7\mathrm{\pi }}}}{{\displaystyle \frac{1}{{\log }_{7}6}}}={\log }_{\mathrm{a}}36 \left[\mathrm{As} {\log }_{\mathrm{a}}\mathrm{b}=\frac{1}{{\log }_{\mathrm{b}}\mathrm{a}}\right] \\ \Rightarrow \frac{{\log }_{7}6}{{\log }_7\mathrm{\pi }}={\log }_{\mathrm{a}}36 \\ \Rightarrow {\log }_{\mathrm{\pi }}6={\log }_{\mathrm{a}}36 \left[\mathrm{As} {\log }_{\mathrm{a}}\mathrm{b}=\frac{{\log }_{\mathrm{c}}\mathrm{b}}{{\log }_{\mathrm{c}}\mathrm{a}}\right] \\ \Rightarrow {\log }_{\mathrm{\pi }}6={\log }_{\mathrm{a}}{6}^2 \\ \Rightarrow {\log }_{\mathrm{\pi }}6=2{\log }_{\mathrm{a}}6 \left[\mathrm{As} {\log }_{\mathrm{a}}{\mathrm{b}}^{\mathrm{m}}={\mathrm{mlog}}_{\mathrm{a}}\mathrm{b}\right] \\ \Rightarrow \frac{1}{2}{\log }_{\mathrm{\pi }}6={\log }_{\mathrm{a}}6 \\ \Rightarrow {\log }_{{\mathrm{\pi }}^2}6={\log }_{\mathrm{a}}6 \left[\mathrm{As} {\log }_{{\mathrm{a}}^{\mathrm{n}}}\mathrm{b}=\frac{1}{\mathrm{n}}{\log }_{\mathrm{a}}\mathrm{b}\right] \\ \Rightarrow \mathrm{a}={\mathrm{\pi }}^2 \\ \mathrm{Please} \mathrm{ask} \mathrm{one} \mathrm{question} \mathrm{in} \mathrm{one} \mathrm{thread}. \end{gathered}$$

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