Find the Real Root of 4^x + 6^x = 9^x
- Time：2020-09-07 12:13:31
- Class：Weblog
- Read：35
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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