Question

What is the solution to the equation below? Round your answer to two decimal places.e0.4x = 0.4A.x = -0.37B.x = -0.91C.x = -2.29D.x = -1.73

Answer 1

Given:

An equation is given as

`e^(0.4x)=0.4`

Find:

we have to solve the given equation.

Step-by-step explanation:

we will solve the equation as following

`\begin{gathered} e^(0.4x)=0.4 \\ Taking\text{ ln on both sides, we get} \\ ln(e^(0.4x))=ln(0.4) \\ 0.4x* ln(e)=0.9163 \\ 0.4x*(1)=0.9163 \\ x=(0.9163)/(0.4) \\ x=2.29 \end{gathered}`

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