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Blizzard [7]
3 years ago
11

If e^5x = k, where k is any positive number, then what is the value of x?

Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0

e^{5x}=k\implies\ln(e^{5x})=\ln(k)\implies\boxed{x=\ln(k)/5}

Hope this helps.

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The dog has gone 5/8 of the way across the yard. How much farther does it have to go to reach the gate?
tigry1 [53]
<span>Well if one assumes that the dog is starting at one side opposite the gate and is heading directly for it, then it has 3/8 of the yard to go. However since one cannot know where the dog has started his movement toward the gate then the answer would not be solvable without more information.</span>
7 0
4 years ago
To get from the stone to the tree you must avoid walking through a pond. To avoid the pond, you must walk 34 yards north
AlexFokin [52]

Answer:

Rounded, 22 yards.

Step-by-step explanation:

The pythagorean theorem states: a^2 + b^2 = c^2

a = 34, squared = 1156

b = 41, squared = 1681

Add those to get 2837.

√2837 = 53.26, rounded.

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22 yards is your answer.

7 0
3 years ago
How do you solve 7.5=x+3/2
labwork [276]
7.5 = x + \frac{3}{2} equals x = 6.

First, subtract \frac{3}{2} from both sides. / Your problem should look like: 7.5 - \frac{3}{2} = x.
Second, simplify 7.5 - \frac{3}{2} to 6. / Your problem should look like: 6 = x.
Third, switch sides. / Your problem should look like x = 6, which is your answer.




6 0
3 years ago
Read 2 more answers
Stefans bikes renta bikes for $20 plus $7 per hour. shawna paid $69 to rent a bike. for how many hours did she rent the bike? ​
Katarina [22]

Answer:

7 hours

Step-by-step explanation:

First you subtract 20 from 69, as the starting fee. That leaves you with 49. 49/7 = 7 hours

4 0
3 years ago
Read 2 more answers
2. what is the solution to to equation -2(x + 4)= -20?​
aleksley [76]

Answer:

x=6

Step-by-step explanation:

-2(x + 4)= -20

<u>Divide both sides by -2:</u>

<u />x+4=\cfrac{-20}{-2}<u />

<u>Divide -20 by -2 = 10</u>

<u />x+4=10<u />

<u>Subtract 4 from both sides:</u>

<u />x=10-4<u />

<u />x=6<u />

<u>______________________</u>

7 0
3 years ago
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