Respuesta :

Given:

An equation is given as

[tex]e^{0.4x}=0.4[/tex]

Find:

we have to solve the given equation.

Explanation:

we will solve the equation as following

[tex]\begin{gathered} e^{0.4x}=0.4 \\ Taking\text{ ln on both sides, we get} \\ ln(e^{0.4x})=ln(0.4) \\ 0.4x\times ln(e)=0.9163 \\ 0.4x\times(1)=0.9163 \\ x=\frac{0.9163}{0.4} \\ x=2.29 \end{gathered}[/tex]

Therefore, the solution of the given equation is x = 2.29.

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