Question

Plz help me with this

Answer 1

Answer: c) y = ln(5x) - 2

Explanation:

`y=(1)/(5)e^(x+2)\\\\\text{Swap the x's and y's.  Then solve for y:}\\\\x=(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`