Mathematical Olympiad | Learn how to find the value of 123xyz/(xy+yz+zx) | Math Olympiad Training

Can you find the value of 123xyz/(xy+yz+zx) in the given system of exponential equations?

Today I will teach you tips and tricks to solve the given olympiad math question in a simple and easy way. Learn how to prepare for Math Olympiad fast!

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Mathematical Olympiad | Learn how to find the value of 123xyz/(xy+yz+zx) | Math Olympiad Training

Olympiad Mathematical Question! | Learn Tips how to solve Olympiad Question without hassle and anxiety!

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[anatoliy]

Thank you so much, sir! All your lessons are good relaxes and mind gymnastics in the same time, this one as well <)) Nice weekend, good weather and peaceful sky !🍷Cheers!

[j.r.]

I again used the logarithmic approach for this exponential equation, although I first simplified a bit to get 3^x = 7^y = 11^z = 231^(1/3). Working with the logs yields messy fractions, but everything cancels in the end. The advantage of this method is that although it's not clever, it's straightforward. You know exactly where you're going as you work through the problem. Sometimes the more elegant approach is not very intuitive; i.e., some of the steps can seem puzzling until you reach the final result. A problem solver needs to have a sense of where the work is heading before choosing a particular direction, or else there would be no reason to choose it.

[fevengr]

I used the LOG function, substitutions and a lot of manipulation to get the correct answer. Your method was far easier. Thanks!

[navneetasinha]

Thank you so much I really appreciate the way you explained this problem.

[Skank_and_Gutterboy]

Good problem! I solved for x, y, and z directly using logarithms, plugged them directly into the expression on the upper left, and just simplified directly. It looks big and ugly at first but a lot of log-expressions cancel out immediately. Just keep simplifying and canceling where you can and in no time, the logs all cancel out and you're left with 123/3 = 41.

[HappyFamilyOnline]

Great step by step explanation👍
Thank you so much for sharing😊

[davisnganga]

Beautiful solution for such a complex problem.

[math]

awesome tips and tricks bro, very well done

[SuperYoonHo]

thanks so much sir!!! hope you get 1000k subscribers!!!

[zplusacademy]

Extremely beautiful effort and execution sir ❤️🙏

[zelisibrahim]

Thanks, perfect and practice a solution!❤️👍

[alster]

After getting the 231 on the left side, the problem became straightforward.

[Элементарнаяматематика-шг]

Sir, am using a program Camtasia,
there is a pen, but not a point like your program.
How to do a settings ?
Please, help me 🙏 !!!

[dukenukem]

42, my "Deep Thought" is acting up