Can you help me find an equation that equals 25 for my son's birthday cake?

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A user requested a long equation that equals 25 for their son's birthday cake, as he will be studying physics in college. Several mathematical expressions were suggested, including the integral \int_{0}^{5}2xdx and the square root of 5^4, both of which succinctly represent the number 25. Other suggestions included using powers, such as 5^2, and more complex equations involving summations and integrals that incorporate the numbers 2 and 5, reflecting the son's age. The discussion emphasized the importance of maintaining clarity in mathematical notation, particularly with signs and terms, to ensure the equations are accurate and visually appealing for the cake.
starphlo
Not sure where to put this...Could anyone give me a long equation to equal 25? I would like to put it on my son's birthday cake. He will be studying physics this fall in college. Thank you very much!
 
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Since no one else has replied, just do this:

\int_{0}^{5}2xdx
 
How about the square root of 5^4.

\sqrt{5^4}

That should fit on a birthday cake quite succinctly :smile:

Edit: Marne's is pretty good too.
 
Since he's going to be 25 years old, keeping the numbers '2' and '5' as the predominate numerals could be good.

For something really succinct, you might just try

5^2

Or if you want to get even crazier, you might try something like (slightly borrowing from MarneMath)

\sum_{n = 0}^\infty \frac{1}{2^n} - 2e^{5i \pi} +\int_2^5 2xdx
 
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Or, throwing in a few more 2s and 5s,

\frac{5}{2}\sum_{n = 0}^\infty \frac{1}{2^n} - e^{(2)(5)i \pi} +\int_2^5 2xdx

Or, if you prefer, \frac{5}{2}\sum_{n = 0}^\infty \frac{1}{2^n} + e^{25 i \pi} +\int_2^5 2xdx

Be mindful of matching the "+" vs "-" and the "(2)(5)" vs "25" in each of the "e" term of each formula. It makes a difference.
 
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