1969 AHSME Problems/Problem 29

Problem

If $x=t^{1/(t-1)}$ and $y=t^{t/(t-1)},t>0,t \ne 1$ , a relation between $x$ and $y$ is:

$\text{(A) } y^x=x^{1/y}\quad \text{(B) } y^{1/x}=x^{y}\quad \text{(C) } y^x=x^y\quad \text{(D) } x^x=y^y\quad \text{(E) none of these}$

$\fbox{C}$

1969 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 28	Followed by Problem 30
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