MatrixLog

MatrixLog[m] gives the matrix logarithm of a matrix m.

Examples

Matrix logarithm:

MatrixLog[{{E, 0}, {0, E^2}}]
(* {{1, 0}, {0, 2}} *)

Verify with MatrixExp:

MatrixExp[MatrixLog[{{2, 0}, {0, 3}}]]
(* {{2, 0}, {0, 3}} *)

Please visit the official Wolfram Language Reference for more details.