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The Christmas Equation

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URL: http://www.progarchives.com/forum/forum_posts.asp?TID=128095
Printed Date: November 23 2024 at 02:20
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Topic: The Christmas Equation
Posted By: Hugh Manatee
Subject: The Christmas Equation
Date Posted: December 24 2021 at 20:38

To begin, let’s start with this equation:
Now let’s rearrange a bit by multiplying both sides by r2:

We currently have in this expression a natural logarithm. Since the natural logarithm ln(x) is defined as the inverse function of the exponential function ex, we can remove the logarithm from our equation entirely by raising the number e to the power of our equation:

Now, since ln(ex) is equal to x, we can apply this to our equation to leave only what was in the parentheses on the right side:

To remove the denominator, we have to multiply both sides by m:

Finally, with a little bit more rearranging, we are left with our final expression:



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I should have been a pair of ragged claws
Scuttling across the floors of uncertain seas



Replies:
Posted By: wiz_d_kidd
Date Posted: December 25 2021 at 07:20
Yay! Math for Christmas! Thanks for stimulating my brain cells!



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