Find the Real Root of 4^x + 6^x = 9^x
- 时间:2020-09-07 12:13:31
- 分类:网络文摘
- 阅读:83 次
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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