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zlopas [31]
3 years ago
9

Express each logarithm in terms of In 2 and In 5.

Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0

Answer:

5ln2-3ln5

2ln5-ln2

Step-by-step explanation:

∵ 32=2^{5}

∵ 125=5^{3}

∵ ln\frac{32}{125}=ln\frac{2^{5}}{5^{3}}

∴ ln2^{5}-ln5^{3}=5ln2-3ln5

∵ 12.5=\frac{125}{10}=\frac{25}{2}=\frac{5^{2}}{2}

∴ ln12.5=ln\frac{5^{2}}{2}

∴ ln5^{2}-ln2=2ln5-ln2

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Answer:

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5 0
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The student will have $135 in her bank account at the end of the ninth week. You can fine this out by finding out the amount she deposits a week and to do this you would take the $30 and divide it by 2 because she had $30 at the end of the second week. 
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So you see that the student deposits $15 each week, so to find out how much money she will have in 9 weeks you will multiply her $15 by 9.
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6 0
2 years ago
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goldfiish [28.3K]

Answer:

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6 0
3 years ago
The shortest route from London to York is 200 miles.
vovikov84 [41]

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5x + 3y, when x = 4, and y=-3​
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Answer:

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Step-by-step explanation:

Hope this helps. :)

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