kitkatyr23 kitkatyr23

14-07-2018
Mathematics

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True or false and why: if a and b are irrational, then a^b is irrational

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sqdancefan sqdancefan

14-07-2018

False

b could be the logarithm of a rational number to the base a. For example,

[tex]b=\log_\pi{(4)}[/tex] will be irrational, but π^b = 4, a rational number

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