Math Problem Solver

The real solutions are: $$\begin{aligned}x &=0\\x &=- \log{\left(2 \right)}\end{aligned}$$

The complex solutions are: $$\begin{aligned}x &= \left\{2 \pi i n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n i\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{- \log{\left(2 \right)} + 2 \pi i n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n i - 0.69314718\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}$$

$e$ is Euler's number, a mathematical constant that is approximately $2.71828$.

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