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7
2014 preRMO p7, if x^{x^4}=4, then x^{x^2}+x^{x^8} =?
2014 preRMO p7, if x^{x^4}=4, then x^{x^2}+x^{x^8} =?
Source:
August 9, 2019
algebra
exponential
Problem Statement
If
x
x
4
=
4
x^{x^4}=4
x
x
4
=
4
what is the value of
x
x
2
+
x
x
8
x^{x^2}+x^{x^8}
x
x
2
+
x
x
8
?
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