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Katyanochek1 [597]
3 years ago
7

How do you reduce ln(3^-e e^3) to simplest form

Mathematics
1 answer:
leva [86]3 years ago
7 0

The logarithm of a product is equal to the sum of logarithms:

\ln(3^{-e}e^3)=\ln3^{-e}+\ln e^3

Drop the exponents:

-e\ln3+3\ln e

The logarithm of a number is equal to 1 if the base of the logarithm is the same as the number itself:

-e\ln3+3

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Answer:the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes

Step-by-step explanation:

Dylan,

If the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes.

To set up the "equation" think about it this way:  (1 mile/ t) = (4 mile/ 1 hr)

so 1/t = 4/1 hr  

now multiply both sides by t to get 1 = t·(4/1 hr), next divide both sides by (4/1 hr)

t = 1/(4/ 1 hr) = 1 hr/4 = ¼ hr = 15 min.

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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3 years ago
The area of a rectangle is 42 square inches and one side is 12 inches long. Find the perimeter of the rectangle. Show your work.
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I might not be correct but i think Perimeter=31. Since the problem tells me that the area is 42 square inches i divided the given area (42 inches) by the given side length (12 inches), and I got 3.5. I did this because the formula for area is a=lw therefore 12×3.5=42 inches. Now that I know the missing measurement of the other side length, I can plug the numbers I have into either one of these equations. 
P=SIDE++SIDE+SIDE+SIDE OR P=2(length)+ 2(width). Please let me know whether or not you understand or have any other questions I will be more than happy to answer. Later when you reach 9th grade and become a freshmen you will learn theorems that will help make it a little bit easier and they will also remove A LOT of the algebraic work that's required to solve questions such as this one. My name is Takira and I go to LaGuardia High School for Performing Arts. Please let me know if you have any more questions.
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3 years ago
The length of a rectangle is three meters less than twice its width. If the perimeter of the rectangle is 66 meters, find its di
rewona [7]

Answer:

assume it's width as 'x'

So, it's length is '2x-3'

and the perimeter is equal to 66m

Step-by-step explanation:

So,equalize the equation

x + (2x-3) + x + (2x-3) = 66

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