4=e^{x/2}

asked by guest
on Nov 19, 2024 at 3:10 am



You asked:

Investigate the equation: 4=ex24 = {e}^{\frac{x}{2}}.

MathBot Answer:

The real solution is: x=2log(4)2.7725887x = 2 \log{\left(4 \right)} \approx 2.7725887


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


ii is the imaginary unit, defined as i2=1i^2 = -1.

ee is Euler's number, a mathematical constant that is approximately 2.718282.71828.