How to find log of "sum of two matrices"?

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I want to find log (A + B ) where A and B are matrices.

The context is that I want to find the Von Neumann entropy which is given by:

$Entropy = - Trace [\rho log (\rho) ]$

where $\rho$ is a matrix.

Now, my problem is computing the V. N. entropy analytically when $\rho = \rho_{0} + \delta\rho$. For this I need to know $log (\rho_{0} + \delta\rho)$

Note that all $\rho$s are matrices.