4=e^{x/2}
You asked:
Investigate the equation: \(4 = {e}^{\frac{x}{2}}\).
MathBot Answer:
The real solution is: \[x = 2 \log{\left(4 \right)} \approx 2.7725887\]
The complex solutions are: \[\left\{4 n i \pi + 2 \log{\left(4 \right)}\; \middle|\; n \in \mathbb{Z}\right\}\]
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).
\(i\) is the imaginary unit, defined as \(i^2 = -1\).