Logarithmic functions are widely used in mathematics and other fields for various applications. As far as we know, no one has used the bounds for the third Hankel determinant using the coefficients of logarithmic functions. This article examined various classes of starlike functions and addressed the problem of the third Hankel determinant concerning logarithmic coefficients for special subclasses related to nephroid functions. Several coefficient estimates were derived, and some of these results were proven to be sharp.