Solve for f (complex solution)
\left\{\begin{matrix}\\f=\frac{1}{e^{x}}\text{, }&\text{unconditionally}\\f\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for f
\left\{\begin{matrix}\\f=\frac{1}{e^{x}}\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=-\ln(f)+2\pi n_{1}i\text{, }n_{1}\in \mathrm{Z}\text{, }&f\neq 0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=-\ln(f)\text{, }&f>0\end{matrix}\right.
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xf=\frac{x}{e^{x}}
The equation is in standard form.
\frac{xf}{x}=\frac{x}{e^{x}x}
Divide both sides by x.
f=\frac{x}{e^{x}x}
Dividing by x undoes the multiplication by x.
f=\frac{1}{e^{x}}
Divide \frac{x}{e^{x}} by x.
xf=\frac{x}{e^{x}}
The equation is in standard form.
\frac{xf}{x}=\frac{x}{e^{x}x}
Divide both sides by x.
f=\frac{x}{e^{x}x}
Dividing by x undoes the multiplication by x.
f=\frac{1}{e^{x}}
Divide \frac{x}{e^{x}} by x.
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