Olympiad Question! Can you Prove: (1/x + 1/y = 1/z) IF (11^x = 17^y = 187^z)? | Simple Explanation

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Комментарии
Автор

Just let 11 = 187 power z/x and 17 = 187 power z/y then 11 x 17 = 187 power z/x + z/y Thus z/x + z/y = 1 and finally 1/x + 1/y = 1/z Most easily solved question

Teamstudy
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That was really very easy question..
I have done such questions before.

That's a very good video. Keep it up Premath.

tanmayupadhyay
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Revered sir, I did I by using logarithms followed by substituting log17/log11=u, I could do it.I still follow the old methods taught in my school.Inspire of new techniques old ones always come in handy.Thanks a million GURUJI.

jaggisaram
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sure can bro, thanks for sharing this multivariable problem

math
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It seems very easy to me. I have solved it in 20 seconds. I have solved it orally after solving it by writing.

mustafizrahman
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Excellent. It doesn't occur for a person like me to consider a fraction as exponentials to 11, 17 and 187. Extraordinary application of mind.👍👌

ramanivenkata
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Logically correct.
But mathematically ?

kitchenlessindia
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Super duper bumper easy question Ans I solved it mentally in few seconds....

Teamstudy
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Ok, I don't have the time to watch the video for now.

lazaremoanang
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187^(z) = k
(187^(z))^(1 ÷ z) = k^(1 ÷ z)
k^(1 ÷ z) = 187

theophonchana