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3 years ago

Solve the equation below for x. 500 = 25e ^ (2x)

Mathematics

1 answer:

Zigmanuir [339]3 years ago

7 0

Answer:

x = i π n + log(20)/2 for n element Z

Step-by-step explanation:

Solve for x:

500 = 25 e^(2 x)

500 = 25 e^(2 x) is equivalent to 25 e^(2 x) = 500:

25 e^(2 x) = 500

Divide both sides by 25:

e^(2 x) = 20

Take the natural logarithm of both sides:

2 x = 2 i π n + log(20) for n element Z

Divide both sides by 2:

Answer: x = i π n + log(20)/2 for n element Z

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A fireman is heading towards a forest fire and needs to know how far away the fire is. The person in the fire tower can determin

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Answer: 3.82 miles

Step-by-step explanation:

According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.

So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire $d$ , which is also the hypotenuse.

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