Get the current logging verbosity level in my MSBuild script

Our MSBuild scripts use the Exec task to call a few command line applications. Most of these applications have their own output verbosity settings which I would like to have be the same as the verbosity level of the MSBuild script calling them.

Is there a way for me to get the logging verbosity level of my MSBuild process?

I thought I could write a custom task to handle this, but poking around the MSBuild API, I couldn't find any properties or classes that would give me the verbosity level.