Determine the equation of the inverse of y= ex+3.4

Answer:x=ey+3−4Step-by-step explanation:Algebra ExamplesPopular Problems Algebra Find the Inverse y=e^(x+3)-4y=ex+3−4Interchange the variables.x=ey+3−4Solve for y.Tap for fewer steps...Since y is on the right side of the equation, switch the sides so it is on the left side of the equation.ey+3−4=xAdd 4 to both sides of the equation.ey+3=x+4Take the natural logarithm of both sides of the equation to remove the variable from the exponent.ln(ey+3)=ln(x+4)Use logarithm rules to move y+3 out of the exponent.(y+3)ln(e)=ln(x+4)The natural logarithm of e is 1.(y+3)⋅1=ln(x+4)Multiply y+3 by 1.y+3=ln(x+4)Subtract 3 from both sides of the equation.