Hi aiea96701,
VMware doesn't really certify specific applications as "supported" on vSphere. There are some caveats to that, such as specific guidelines for Windows versions when using Windows Failover Clusters and things like that. But in terms of individual application support that is handled by the vendor (in this case Microsoft). And that's a good thing - would you really want to go to VMware for support with your Microsoft product?
Instead, you need to make sure that Microsoft covers your specific configuration. To that end, Microsoft has a support policy called the Server Virtualization Validation Program that is intended to certify 3rd party hypervisors with Microsoft's products. On the support page, Microsoft states the following:
All the below listed Microsoft Server-focused application versions, as well as all later versions of those applications, are supported on Hyper-V and Server Virtualization Validation Program (SVVP) validated products, so long as the virtualization product supports the correct operating system version and platform architecture(s) required by a specific application.
http://www.windowsservercatalog.com/svvp.aspx?svvppage=svvpwizard.htm
On the list of applications at the link above, you'll see that Exchange 2010 is listed and since the policy states "..application versions, as well as later versions of those applications.." then Exchange 2013 is covered. However, that's not the end of the story. You also have to make sure that the specific version of vSphere is listed on the SVVP. In order to determine that, go to the following URL and find your specific version of vSphere:
I realize that's an ugly URL but it works. If you find your version of vSphere (such as vSphere 5.1), then you should be covered.
Note that it does take Microsoft a while to add new versions of vSphere on the list. If you're antsy to get on vSphere 5.5 then you won't be officially be in a supported configuration for a while.
Hope that helps!
Matt