Hello all,

I am studying for a calc three test and came across a problem I got stuck on the problem is as follows.

given the function g(x,y,z)= x^2 ln y+y z find an equation for the tangent plane to the surface g(x,y,z) =2 at the point (2,1,2)

I started of by finding the gradient of g(x,y,z) and found that to be (2xlny,x^2/y +z, y)

I en evaluated this a the point (2,1,2) and got the gradient vector to be (0,6,1) however the g(x,y,z) = 2 is throwing me off any help guidance would be greatly appreciated.

Thanks,

Stephen