Math Olympiad Exponential Problem || 3^X-2^X=65
Math Olympiad Exponential Problem || 3^X-2^X=65
Welcome to our channel! In this video, we will be tackling a challenging Math Olympiad question involving exponential and algebraic equations. We will walk through the problem step by step, providing clear explanations and helpful tips to help you solve similar problems in the future. Whether you're preparing for a competition or just looking to improve your math skills, this video is perfect for you. Let's dive in and solve some equations together!
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Пікірлер: 11
Example of a problem that would have been way quicker just to plug in numbers. X has to be a whole number. You need something greater than 65 so x has to be at least 4. Plug in 4 for both and boom, done.
Nice one:)
@MathSync
Ай бұрын
Thank you so much! I’m glad you liked it. If there’s a math concept you’re curious about or want to see tackled in a fun way, let me know. Your ideas are always welcome here! 😊📚
@bachnguyen-te3su
Ай бұрын
yeah
😁😁😁😁😁😁😁
Thumbnail shows a plus, not minus, FYI.
@MathSync
Ай бұрын
I’m delighted to express my deepest gratitude for the valuable information you’ve shared☺️🤗💞
Nothing to calculate x=4 is a solution 3^4 -2^4 = 81 - 16 =65 There is only 1 solution because f(x) = 3^x - 2^x is strictly increasing for x>=0 f(0) = 0. X integer
Cute
@MathSync
Ай бұрын
“Thank you! I’m thrilled you enjoyed the video. Stay tuned for more cool math tricks and tips. If there’s a particular topic you’re interested in, let me know, and I might cover it in a future video! 😊
When you write (m +n).(m -n) = 13.5, first you forget the possibility m+n = 65 and m-n = 1, and second and more important: how can you suppose m and n integers? (m = 3^(a/2) would not be an integer if a was an odd integer, same problem with n.) Anyway the best solution is given by herbertklumpp2969.