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\left. \begin{array} { l } { \operatorname { log } _ { a } ( 1 + 2 + 3 ) = \operatorname { log } _ { a } 1 + \operatorname { log } _ { a } 2 + \operatorname { log } _ { a } 3 } \\ { \operatorname { log } \frac { 35 } { 78 } = \operatorname { log } 7 + \operatorname { log } 5 - \operatorname { log } 2 - \operatorname { log } 3 - \operatorname { log } 13 } \\ { 7 \operatorname { log } \frac { 16 } { 15 } + 5 \operatorname { log } \frac { 25 } { 24 } + 3 \operatorname { log } \frac { 81 } { 80 } = \operatorname { log } 2 } \end{array} \right.

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