The function is
.
Apply derivative on each side with respect to
.
.
Derivative of a logarithmic function :
.

Slope of the tangent is derivative of the function.
\
Slope of the tangent line at
.

The Point slope form of line equation is
.
Substitute
and the point
in the point slope form.

Tangent line equation is
.
Tangent line to the function is
.