Create One Trigger For Both Update and Delete

hi,
CAn i have one trigger for both Update and Delete
Delete Trigger
---------------------
create Trigger [tr_delete_user_log]
on [dbo].[user_log] for delete
as
begin
insert into z_user_log select * from deleted
end

Trigger Update
---------------------
CREATE Trigger [tr_update_user_log]
on [dbo].[user_log] for update
as
begin
insert into z_user_log select * from deleted
end

Can i have one trigger instead of these Triggers ..

.