How to solve this exponential functuion?
$4^{x-1} = 9\cdot x^{3-x}+7$
The solution is $x=3$.
Asked
Active
Viewed 85 times
1 Answers
3
Equations such as this very rarely have closed-form solutions, and there is no general method for finding them. In this case it's easy to verify that $x=3$ works. Using the fact that for $x > 2$, the right side is decreasing while the left side is increasing, it's not hard to show this is the only positive real solution.
Robert Israel
- 448,999
-
So this is the only way to find the solution? – ScoobyDuh Nov 12 '18 at 18:56