Answered

help please!!!!!:( Solve the equation for x. Round your answer to two decimal places. Do not include "x =" in your answer.

e^(0.4x) = 0.4

Verified Answer :

The solution to the problem is as follows:

If you use Ln you can get rid of e. 

ln(e^0.4x) = ln(0.4) 

0.4x = ln(0.4) 

x = (ln(0.4))/0.4 

x = -2.29

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Answer:

x = ( -2.29 )

Step-by-step explanation:

The given expression is \(e^{(0.4x)}=0.4\)

We have to solve this equation for the value of x. We take natural log on both the sides of the equation.

\(ln(e)^{0.4x}=ln(0.4)\)

0.4x ln(e) = ln (0.4)

0.4x = ln (0.4)  [ Since lne = 1 ]

0.4x = -0.9163

\(x=\frac{0.9163}{0.4}\) = 2.29

Therefore, x = ( -2.29 ) is the answer.

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