How To Solve An Exponential Diophantine Equation #numbertheoryproblems #numbertheory

#Shorts #algebra #equations #multiplication #maths #math #mathematics #puzzles #via @YouTube @Apple @Desmos @NotabilityApp @googledocs @canva

[beautifulmindinpuzzles]

a or b or c, one of them must be zero.

[mcwulf]

c should be 0.
Even without binary prior knowledge you can take out 2^c to get the highest power of 2 that divides 49. Which is zero.
Repeat for 2^b on 48 and you get 3*16 so b=4
Finally subtract that and you have 2^a = 32 so a=5.

[mircoceccarelli]

1 = 2^0

( a, b, c ) = combinazione tra i 3
esponenti 0, 4, 5

[Hans_Magnusson]

I got 5, 4, and 0

Which is 32 + 16 + 1 = 49

Anyone with a better idea?

[tamirerez]

You mean c must be 0
After so many great videos we all can simply forget it.
It never really happene.
😂❤👍