Algorithms, Blockchain and Cloud

Find the Real Root of 4^x + 6^x = 9^x

ACMer

Given a equation , let’s find the real value of x.

First, divide both sides by which becomes:


as , and , it becomes:

Let’s replace with and further we have:

that is

This equation has a golden root (the negative root should be discarded):

Therefore,
and
and
and we can compute the value x that is approximately 1.187.

–EOF (The Ultimate Computing & Technology Blog) —

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