((x^4+2)^(x^4+2))/((x^2+4)^(x^2+4))=1

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I have currently found (x^4+2)^(x^4+2)=(x^2+4)^(x^2+4)

Any help further?

Guest Jul 11, 2015

+33614

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Best Answer

This will be true if x⁴ + 2 = x² + 4 or x⁴ - x² - 2 = 0 or (x² + 1)(x² - 2) = 0

The only option that gives real solutions for x is x² = 2 or x = ±√2

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Alan Jul 12, 2015

Alan · Answer 1 · 2015-07-12T07:34:17

This will be true if x⁴ + 2 = x² + 4 or x⁴ - x² - 2 = 0 or (x² + 1)(x² - 2) = 0

The only option that gives real solutions for x is x² = 2 or x = ±√2

.

Guest · Answer 2 · 2015-07-11T08:02:58

Thanks for your help............It was 2^(1/2)

Melody · Answer 3 · 2015-07-12T05:58:58

ok so you worked it out yourself and don't want anyone to look at it?