Respuesta :
Answer:
x ≈ 29.68 to the nearest hundredth
Step-by-step explanation:
To solve for x in the equation; 4 In (5x) = 20, we need to follow the steps below:
4 In (5x) = 20
First divide both-side of the equation by 4
4 In(5x) /4 = 20/4
(On the left-hand side of the equation, 4 at the numerator will cancel out 4 at the denominator leaving us with just In (5x) while at the right-hand side of the equation 20 will be divided by 5 to give us 5). Thus our equation becomes;
In (5x) = 5
Take the exponential of both-side
[tex]e^{In (5x)}[/tex] = [tex]e^{5}[/tex]
At the left-hand side of the equation e will cancel-out In, hence;
5x = [tex]e^{5}[/tex]
5x = 148.4131591025766
Divide both-side of the equation by 5
[tex]\frac{5X}{5}[/tex] = [tex]\frac{148.4131591025766}{5}[/tex]
x =29.682631820515322
x ≈ 29.68 to the nearest hundredth
