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**1. Homework Statement**

find the equation of the tangent to the curve defined by y=e^x that is perpendicular to the line defined by 3x+y=1

**2. Homework Equations**

m= 1/3 (negative reciprocal of y=-3x+1)

derivative of e^x=e^x

**3. The Attempt at a Solution**

i keep getting stuck at 1/3=e^x ( i know theres a way to solve for x i just cant remember)

the answer is x-3y+(1+ln3)=0