# How do you solve 6.27e^x?

Mar 8, 2017

No solution

#### Explanation:

Usually when the question says to solve an equation, you are looking for values of $x$ where $y = 0$.

The exponential equation: $y = 6.27 {e}^{x} = 0$ does not have any $x$ values where $y = 0$.

If you divide both sides of the equation by $6.27$
$\frac{6.27 {e}^{x}}{6.27} = \frac{0}{6.27}$ ; ${e}^{x} = 0$

When you log both sides:
$\ln {e}^{x} = \ln 0$

Logarithm property $\ln {e}^{x} = x$:
$x = \ln 0 = \text{undefined}$

From the graph of $y = 6.27 {e}^{x}$, the $x$-axis is a horizontal asymptote:

graph{y = 6.27e^x [-14.55, 5.45, -2.52, 7.48]}