Question

What is the solution to the equation below? Round your answer to two decimal places.
e^0.3x=0.3

Answer 1

Answer:

$x = - 4.01$

Step-by-step explanation:

${e}^{0.3x} = 0.3 \\ ln( {e}^{0.3x}) = ln(0.3) \\ (0.3x) ln(e) = ln(0.3) \\ 0.3x = ln(0.3) \\ x = \frac{ ln(0.3) }{0.3} \\ x = -4.01324268109 \\ x = - 4.01$

Answer 2

Answer:-4.01

Step-by-step explanation:

e^0.3x = 0.3

To get rid of the exponential, we take the "In" of bothside.

Ine^0.3x = In0.3

0.3x = In0.3

0.3x = -1.203928

Dividw bothside by 0.3

0.3x/0.3 = -1.203928 / 0.3

x = -4.013

x= -4.01 to two decimal place.