Question

What is the solution to the equation below? Round your answer to two decimal places.

e^0.3x=0.3

Answer 1

`x = - 4.01`

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 = ( ln(0.3) )/(0.3) \\ x = -4.01324268109 \\ x = - 4.01`

Answer 2

Answer:-4.01

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.