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3 years ago

Id : 688 737 6744pas : c8SNRa

Mathematics

1 answer:

Travka [436]3 years ago

4 0

Answer:

ill joinn

Step-by-step explanation:

thank you

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write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

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8 0

2 years ago

What is the length of the rectangular prism if it has a width of 13 meters, a helght of 17 meters, and a volume of 2,873

pentagon [3]

Answer:

The length is 13m.

Step-by-step explanation:

$v = lwh \\ \\ 2873 = l(13)(17) \\ 2873 = 221l \\ l = 2873 \div 221 \\ l = 13$

6 0

3 years ago

Helga is ordering five pounds of mixed nuts for a graduation party. The party budget allows $18 for the nuts. If peanuts are $2.

aksik [14]

Answer:

6 pounds of peanuts 1 pound of almonds

Step-by-step explanation:

6 pounds of peanuts at $2 a pound is $12 and that leaves $6 for a pound of almonds totaling out to $18

6 0

3 years ago

Help pls. Express your answer as a fraction in<br> simplest form.

Strike441 [17]

Your answer is D since 53 is the total amount of bottle caps and only 2 of them are marked. so that will leave you with a 2/53 chance of getting the prize.

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3 years ago

Store A sells lawnmower fuel for $4.00 per gallon. Store B sells containers of fuel for $4.00 each. The cost of fuel at either s

Anika [276]

Answer:

$8.00 your welcome

7 0

3 years ago

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Id : 688 737 6744pas : c8SNRa​

Id : 688 737 6744pas : c8SNRa