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Question Number 10774 by j.masanja06@gmail.com last updated on 24/Feb/17

Answered by sandy_suhendra last updated on 24/Feb/17

$$=\left|\begin{array}{c}{\log }_{3}10241\\ {\log }_{3}82\end{array}\right|\times \left|\begin{array}{c}{\log }_{2}3{\log }_{4}3\\ {\log }_{3}4{\log }_{3}4\end{array}\right|$$$$=({2\log }_{3}1024-{\log }_{3}8)\times ({\log }_{2}3.{\log }_{3}4-{\log }_{4}3.{\log }_{3}4)$$$$=\left({\log }_3\frac{{1024}^2}{8}\right)\times ({\log }_{2}4-1)$$$$=\left({\log }_3{2}^{17}\right)\times (2-1)=17{\log }_{3}2$$

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