Base and Exponent Accuracy!

Algebra Level 2

What is the value of x such that:

4 2 − x x − x x ≈ ∣ 434.01 × x x ∣ { 4 }^{ 2 }\quad -\quad { x }^{ x }\quad -\quad { x }^{ x }\quad \approx \quad |\quad 434.01\quad \times \quad { x }^{ x }\quad |


The answer is -3.

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Stephard Donayre by Stephard Donayre , 26, Philippines

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1 solution

Stephard Donayre
Apr 6, 2015

Does anyone volunteer to post a solution here? I want to see how you solve this...

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I didn't exactly solve it algebraically, I knew it was going to be a negative number so I just used trial and error, obtaining -3 within a few tries...

Although admittedly that's a rather unsatisfactory approach as we really want to solve it much more rigorously than that...

Andrew Darlington - 6 years, 1 month ago

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