A Non standard Equation | 4^x=1/x

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Guessing is not an effective method of solution. What is the mathematical way to solve this?

xyz.ijk.
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Ha ha, I've begun to notice a pattern. I keep finding a way to create a product log, calculate the answer, and then realize it's a nice convenient number. Then I put in that number and realize I could have guessed.

spelunkerd
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I'm hate problems where we need guess something. Why? Try to do it with 5^x :)

mega_mango
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I don't like this type of video. I don't think guessing that x might be 2 is a valid method of solving for x.

rorybrowne