উদাহরণ ১৭৷ হলে দেখাও যে [H.S ‘97]
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হলে দেখাও যে 
[H.S ‘97]-br /-\end{array}.jpg "\begin{array}{l}<br />xyz + 1\\<br /> = {\log _{2a}}a \times {\log _{3a}}2a \times {\log _{4a}}3a + 1\\<br /> = \left( {{{\log }_{2a}}a \times {{\log }_{3a}}2a} \right) \times {\log _{4a}}3a + 1\\<br /> = {\log _{3a}}a \times {\log _{4a}}3a + 1\\<br /> = {\log _{4a}}a + 1\\<br /> = {\log _{4a}}a + {\log _{4a}}4a\\<br /> = {\log _{4a}}\left( {4a \cdot a} \right)\\<br /> = {\log _{4a}}4{a^2}\\<br /> = 2{\log _{4a}}2a\\<br /> = 2{\log _{4a}}3a \times {\log _{3a}}2a\\<br /> = 2yz\\<br /> \Rightarrow xyz + 1 = 2yz\left( {proved} \right)<br />\end{array}")
