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Sir how to solve this... que. M not getting this.. que no. 2

Sir how to solve this... que. M not getting this.. que no. 2

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Grade:12

1 Answers

Ajay
209 Points
7 years ago
Hi
Please see the solution below, it would be helpful if you tell us what you tried at your end and where you went wrong.
\quad \quad 7\quad Log\quad \frac { 16 }{ 15 } +5Log\quad \frac { 25 }{ { 2 }4 } +3Log\quad \frac { 81 }{ 80 } \\ \\ =\quad 7\quad Log\quad \frac { { 2 }^{ 4 } }{ 3.5 } +5Log\quad \frac { { 5 }^{ 2 } }{ { 2 }^{ 3 }.3. } +3Log\quad \frac { { 3 }^{ 4 } }{ { 2 }^{ 4 }.5. } \\ \\ =\quad Log\quad \frac { { 2 }^{ 28 } }{ { 3 }^{ 7 }{ 5 }^{ 7 } } +\quad Log\quad \frac { { 5 }^{ 10 } }{ { 2 }^{ 15 }.{ 3 }^{ 5 } } +Log\quad \frac { { 3 }^{ 12 } }{ { 2 }^{ 12 }.{ 5 }^{ 3 } } \\ \\ =\quad Log\frac { { 2 }^{ 28 }.{ 5 }^{ 10 }.{ 3 }^{ 12 }\quad \quad \quad \quad }{ { 2 }^{ 15 }.{ 2 }^{ 12 }.{ 3 }^{ 7 }.{ 3 }^{ 5 }{ 5 }^{ 2 }.{ 5 }^{ 3 } } \\ \\ =\quad Log\frac { { 2 }^{ 28 }.{ 5 }^{ 10 }.{ 3 }^{ 12 }\quad \quad \quad \quad }{ { 2 }^{ 27 }.{ 3 }^{ 12 }.{ 5 }^{ 10 } } \\ \\ =\quad Log2

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