\hspace{-16}$Prove That\\\\ $\mathbf{(1)::\log_{2}{3}>\log_{3}{4}}$\\\\ $\mathbf{(2)::\log_{2}{3}>\log_{3}{11}}$\\\\ $\mathbf{(3)::\log_{3}{5}>\log_{2}{3}}$\\\\
without Using properties of Logarithms
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\hspace{-16}$Prove That\\\\ $\mathbf{(1)::\log_{2}{3}>\log_{3}{4}}$\\\\ $\mathbf{(2)::\log_{2}{3}>\log_{3}{11}}$\\\\ $\mathbf{(3)::\log_{3}{5}>\log_{2}{3}}$\\\\
without Using properties of Logarithms