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Solve for k
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kx=e^{x}
Swap sides so that all variable terms are on the left hand side.
xk=e^{x}
The equation is in standard form.
\frac{xk}{x}=\frac{e^{x}}{x}
Divide both sides by x.
k=\frac{e^{x}}{x}
Dividing by x undoes the multiplication by x.