I've found that this works, to return what I was looking for:
> $ESXHost = Get-VMHost esx001
> $SyslogServer = Get-AdvancedSetting -Entity $ESXHost -Name "Syslog.global.logHost"
> $SyslogServer.Value
tcp://<FQDN of vCenter>:514
PowerCLI Z:\PHA Scripts\PowerCLI Scripts> $SyslogServer | gm
TypeName: VMware.VimAutomation.ViCore.Impl.V1.AdvancedSettingImpl
Name MemberType Definition
---- ---------- ----------
ConvertToVersion Method T VersionedObjectInterop.ConvertToVersion[T]()
Equals Method bool Equals(System.Object obj)
GetHashCode Method int GetHashCode()
GetType Method type GetType()
IsConvertableTo Method bool VersionedObjectInterop.IsConvertableTo(type type)
ToString Method string ToString()
Client Property VMware.VimAutomation.ViCore.Interop.V1.VIAutomation Client {get;}
Description Property string Description {get;}
Entity Property VMware.VimAutomation.Sdk.Types.V1.VIObject Entity {get;}
Id Property string Id {get;}
Name Property string Name {get;}
Type Property System.Nullable[VMware.VimAutomation.ViCore.Types.V1.AdvancedSettingType] Type {get;}
Uid Property string Uid {get;}
Value Property System.Object Value {get;}