# How do you find the equation of the tangent and normal line to the curve #y=lnx# at x=17?

##### 1 Answer

Nov 2, 2016

Tangent Equation :

Normal Equation :

#### Explanation:

If

When

so the tangent passes through

Using

The normal is perpendicular to the tangent, so the product of their gradients is -1 hence normal passes through

so the equation of the normal is: