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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:

The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Step-by-step explanation:

The error she made was that she was adding x and 2.75.

She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.

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Hope this helps you.

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