e^(x-2)=10

asked by guest
on Apr 19, 2024 at 4:56 am

You asked:

Investigate the equation: \({e}^{x - 2} = 10\).

MathBot Answer:

The real solution is: \[x = 2 + \log{\left(10 \right)} \approx 4.3025851\]


The complex solution set is: \[\left\{2 n i \pi + 2 + \log{\left(10 \right)}\; \middle|\; n \in \mathbb{Z}\right\}\]


\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).

\(i\) is the imaginary unit, defined as \(i^2 = -1\).

asked 13 days ago

active 13 days ago