wrapping a static class/method in order to unit test it?

I've got a static class that I am using for logging:

public static class myLogger
{
    public static ErrorLogging(string input)
    {
        //dostuff
    }
}

The way I am using it is:

public class myClassthatDoesStuff
{
    ...
    myLogger.ErrorLogging("some error ocurred");
    ...
}

How can I moq the myLogger class in order to be able to unit test it and ensure that the ErrorLogging method was executed? Is it possible to do this without setting any parameters in the constructor (constructor injection)? myClassthatDoesStuff requires that there are no parameters in the constructor.