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Foundations, part 10

Algebra Level 3

\[\large x = t^{\frac{1}{t-1}},\quad y = t^{\frac{t}{t-1}}, \quad t>0, t\neq 1\]

Find the relation between \(x\) and \(y\)?

For more, Try this set

\[x^y = y^x\] \[x^y = y^{1/x}\] \[x^{1/y} = y^{1/x}\] \[y^x = x^{1/y}\]

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Excel in math and science

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It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

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including olympiad champions, researchers, and professionals.

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by Ravneet Singh

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