Can you solve for XY? | Learn how to solve this nice Equation | Math Olympiad Training #math #maths

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Can you solve this given Equation for XY that involves fractions and exponents?

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Can you solve for XY? | Learn how to solve this nice Equation | Math Olympiad Training #math #maths

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

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That’s exactly the way I would have solved it (after over a year of Professor Premath tuition)!❤🥂👍

bigm
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Very nice and useful
Thanks PreMath
Thanks Sir.

yalchingedikgedik
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I used the more general solution of taking the ln of both sides and solving for xy. Obviously, this is the only route to take if the number on the right side of the equation doesn't conveniently have the same base as the left side. This simplifies to xy*4*ln7=ln343 and yields xy=3/4. If the right side of the equation were, say, 342, then the answer would be xy= ln(342)/ln(2401) or a shade less than 3/4.

angeluomo
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A very nice equation for checking my own calculation skills without using paper and a pen.
Best regards from Germany

unknownidentity
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(x+y)²-(x-y)²=3 4xy=3 xy=3/4

himo