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deff fn [24]
3 years ago
5

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variab

les represent positive real numbers. (2 points)
2log x + 4log y
Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer:

log x²y^{4}

Step-by-step explanation:

Using the rules of logarithms

log x + log y ⇔ log xy

logx^{n} ⇔ n log x

Given

2logx + 4logy

= logx² + logy^{4}

= log x²y^{4}

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Answer:

Step-by-step explanation:

a) -x-4(1-x)  =

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2 x √ 2 + 3 √ 2 x -√ 2 x x − 2

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3 years ago
What is the y-intercept of the line?<br><br> y= -2x - 8<br><br> y-intercept =
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An effervescent tablet has the following formula: acetaminophen 325 mg, calcium carbonate 280 mg, citric acid 900 mg, potassium
Oksana_A [137]

Answer:  a)   2.27 g     and     b)  15384

Step-by-step explanation:

Given : An effervescent tablet has the following formula:

acetaminophen 325 mg,

calcium carbonate 280 mg,

citric acid 900 mg,

potassium bicarbonate 300 mg, and

sodium bicarbonate 465 mg.

a) When we add all quantities together , we get

The total weight of the ingredients in each tablet = 325 +280+900+300+465=2270

Since, 1 gram = 1000 mg

Then, 1\ mg=\dfrac{1}{1000}\ g

Now, 2270\ mg=\dfrac{2270}{1000}\ g=2.27\ g

∴ The total weight of the ingredients in each tablet = 2.27 g

b. 1 kg = 1000g and 1 g = 1000 mg

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\dfrac{5000000}{325}=15384.6153846\approx15384

Hence, the number of  tablets could be made with a supply of 5 kg of acetaminophen= 15384

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