Solve the following mathematical problems with sufficient calculations.

Simplify: $\frac{\log \sqrt{27} + l o g 8 - l o g \sqrt{1000}}{\log 1.2}$

Created: 1 month ago | Updated: 3 weeks ago

Job Solution Investment Corporation Of Bangladesh Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) || 2019 গণিত

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$\frac{\log \sqrt{27} + l o g 8 - l o g \sqrt{1000}}{\log 1.2}$

$= \frac{\log \sqrt{3^{3}} + \log 2^{3} - \log \sqrt{{(2 \times 5)}^{3}}}{\log \frac{12}{10}}$

$= \frac{\log 3^{\frac{3}{2}} + \log 2^{3} - \log \sqrt{2^{3} \times 5^{3}}}{\log \frac{6}{5}}$

$= \frac{\frac{3}{2} \log 3 + 3 \log 2 - \log (2^{\frac{3}{2}} \times 5^{\frac{3}{2}})}{\log 6 - \log 5}$

$= \frac{\frac{3}{2} \log 3 + 3 \log 2 - \log (2^{\frac{3}{2}} \times 5^{\frac{3}{2}})}{\log 6 (3 \times 2) - \log 5}$

$= \frac{\frac{3}{2} \log 3 + 3 \log 2 - \frac{3}{2} \log 2 - \frac{3}{2} \log 5}{\log 3 + \log 2 - \log 5}$

$= \frac{\frac{3}{2} \log 3 + \frac{3}{2} \log 2 - \frac{3}{2} \log 5}{\log 3 + \log 2 - \log 5}$

$= \frac{\frac{3}{2} (\log 3 + \log 2 - \log 5)}{\log 3 + \log 2 - \log 5} = \frac{3}{2} (a n s w e r)$

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A pipe can fill up an empty tank in 12 minutes. Another pipe flows out 14 liter of water per minute. If the two pipes are opened together and the empty tank is filled up in 96 minutes, how much water does the tank contain?

Created: 1 month ago | Updated: 3 weeks ago

Job Solution Investment Corporation Of Bangladesh Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) || 2019 গণিত

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Created: 1 month ago | Updated: 3 weeks ago

Job Solution Investment Corporation Of Bangladesh Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) || 2019 গণিত

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Solve the following mathematical problems with sufficient calculations.

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Created: 1 month ago | Updated: 3 weeks ago

Job Solution Investment Corporation Of Bangladesh Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) || 2019 গণিত

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Solve the following mathematical problems with sufficient calculations.

Solve the equation: $\frac{1}{x - 3} + \frac{1}{x - 4} = \frac{1}{x - 2} + \frac{1}{x - 5}$

Created: 1 month ago | Updated: 3 weeks ago

Job Solution Investment Corporation Of Bangladesh Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) || 2019 গণিত

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Solve the following mathematical problems with sufficient calculations.

Simplify: log27+log8-log1000log1.2

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