Question

hello. please solve.​

Answer 1

$\begin{gathered}\Large{\bold{\pink{\underline{Formula \: Used \::}}}} \end{gathered}$

$\tt \:  ⟼ \: 1. \: log(x) + log(y) = log(xy)$

$\tt \:  ⟼ \: 2. \: log(x) - log(y) = log( \frac{x}{y} )$

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$\large\underline\purple{\bold{Solution :- }}$

$\tt \:  ⟼ \: log(\dfrac{9}{14} ) - log(\dfrac{15}{16} ) + log(\dfrac{35}{24} )$

$\tt \:  = [ log(\dfrac{9}{14} ) + log(\dfrac{35}{24} ) ] - log(\dfrac{15}{16} )$

$\tt \:  = [ log(\dfrac{9}{14} \times \dfrac{35}{24} ) ] - log(\dfrac{15}{16} )$

$\tt \:  = log[\dfrac{9}{14} \times \dfrac{35}{24} \div \dfrac{15}{16} ]$

$\tt \:  = log[\dfrac{9 \times 35 \times 16}{14 \times 24 \times 15} ]$

$\tt \:  = log(1)$

$\tt \:  = 0$

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