A few days ago
Solve e^2k=3??
solve.
round answer to nearest ten-thousandth
Top 3 Answers
A few days ago
Favorite Answer
There is a beautiful correlation between the symbol e and the natural log ln. To solve this let’s first change 2k to x ; 2k=x (this will make typing easier). Ok here is the correlation:
[e^x =3] is the same thing as [ln3=x]. Calculate ln3 in your calculator and you will get 1.098612289 (don’t round off now because this is the value for x and going back to the expression x=2k, k will be half of x which gives 0.549306 Finally, rounding off to 10,000th you will get 0.5493 as your answer.
Short version k=0.5493
Good luck 🙂
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A few days ago
the answer is k = (ln3)/2
Take the natural log of both sides, that eliminates the e
Then its 2k = ln3
Now just divide through by 2
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A few days ago
e^2k=3
lne^2k=ln3
2klne=ln3
2k=ln3(because lne=1)
k=(ln3)/2
P.S.:you can put ln because both sides are positive.i hope that you know that e^whatever is always positive.
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