Irrational to Irrational power and Transcendental to Transcendental power ?!?

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A very well-known argument gives that irrational number to irrational power can be a rational number.

We look at a Lesser-Known argument showing that a transcendental number to another transcendental number can give any rational number!

TIMESTAMPS:
0:11 Irrational to Irrational power
1:16 Transcendental to Transcendental power
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Is the statement “there are so many transcendental numbers so that f(x) maps trans. to trans.” valid?

조현욱-fj