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: 5 months ago | Updated: 1 week 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: 5 months ago | Updated: 1 week 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.

Convert ${11.8}_{10}$ into binary number and convert ${10,111.011}_{2}$ into decimal equivalent.

Created: 5 months ago | Updated: 1 week 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.

50 persons can do a work in 12 days by working 8 hours a day. Working how many hours per day can 60 persons finish the work in 16 days?

Created: 5 months ago | Updated: 1 week 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: 5 months ago | Updated: 1 week ago

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

129

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Solve the following mathematical problems with sufficient calculations.

Simplify: log27+log8-log1000log1.2

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