Question

prove that question related to log chapter in maths

Answer 1

Hope u like my process
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Formula to be used
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$= > log(x) + log(y) = log(xy) \\ \\ = > log(x) - log(y) = log( \frac{x}{y} ) \\ \\ = > \alpha log(x) = log( {x}^{ \alpha } )$
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$= > 4 log( \frac{24}{25} ) - 16 log( \frac{9}{10} ) + 7 log( \frac{81}{80} ) \\ \\ = > log( { (\frac{24}{25} )}^{4} ) - log( {( \frac{9}{10} )}^{16} ) + log( {( { \frac{81}{80} } )}^{7} ) \\ \\ = > log( \frac{ {3}^{4} \times {8}^{4} }{ {5}^{8} } \times \frac{{10}^{16} }{ {9}^{16} } \times \frac{ {9}^{14} }{ {8}^{7} \times {10}^{7} } ) \\ \\ = > log(5)$
Proved..
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Hope this is ur required answer

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