Answer: c) y = ln(5x) - 2
Step-by-step explanation:
[tex]y=\dfrac{1}{5}e^{x+2}\\\\\text{Swap the x's and y's. Then solve for y:}\\\\x=\dfrac{1}{5}e^{y+2}\\\\\\\text{Multiply both sides by 5:}\\5x=e^{y+2}\\\\\\\text{Apply ln to both sides:}\\ln(5x)=ln\ e^{y+2}\\\\\text{Simplify:}\\ln(5x)=y+2\\\\\\\text{Subtract 2 from both sides:}\\ln(5x)-2=y[/tex]
