Question

Please solve these with proper and easy solution

Answer 1

Answer is in the attachment above.

Formulae used here:

$1. log_{a}(m) + log_{a}(n) = log_{a}(mn)$

$2. log_{a}(m) - log_{b}(n) = log_{a}( \frac{m}{n} )$

Answer 2

Question number 1:-

$log \: 10 + log \: 5$

$= log(5 \times 10)$

$= log \: 50$

Question number 2:-

$log_{x}{a}^{2} + log_{x} {b}^{3}$

$= log_{x} {a}^{2} {b}^{3}$

Question number 3:-

$log_{10}20 + log_{10}3$

$= log_{10}(20 \times 3)$

$= log_{10}60$

Question number 4:-

$log \: 400 - log \: 8$

$= log \frac{400}{8}$

$= log \: 50$

Question number 5:-

$log_{5} \: {m}^{3} - log_{5} \: m$

$= log_{5} \: \frac{ {m}^{3} }{m}$

$= log_{5} {m}^{2}$

$= 2 log \: m$

Question number 6:-

$log \: 684 - log \: 4$

$= log \frac{684}{4}$

$= log \: 171$

Question number 7:-

$log \: 7 - log \: 3$

$= log \: \frac{7}{3}$

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