e^x=4

asked by guest
on Sep 27, 2024 at 10:17 am



You asked:

Investigate the equation: \({e}^{x} = 4\).

MathBot Answer:

The real solution is: \[x = \log{\left(4 \right)} \approx 1.3862944\]


The complex solutions are: \[\left\{2 n i \pi + \log{\left(4 \right)}\; \middle|\; n \in \mathbb{Z}\right\}\]


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

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