There are many variables in a battle...  Speed and accuracy play a big factor beyond the hard numbers...

The 7 will not do any damage and will give you up to 3 damage per round which may be several times before the other weapons hit...

the 14 and 7 will provide up to 21 damage depending on speed and accuracy and several other variables...

Here is my guess..

The lasers on the enemy are highly accurate and fast shooting several times it takes your other weapons to hit.

Your other weapons are not accurate and are slow, thus maybe it's only taking a few off a round.

Mind you thies still means that they need to give you 4 or more times the damage your implying per round.

The numbers don't add up to me as it appears you should win, however, you would need all the numbers in order to draw that conclusion.

From my experience killing undefended starbases with small ships they kill the starbase with 4x the hit points without taking damage.  I think I was using missiles so they may have sat outside range and pummeled it.  Starbase weapons and armor should be on at least twice what large ships are packing, currently they are a joke, hopefully next beta they will be improved and won't be pushovers. 

Since starbases can be easily avoided I think the best way to make them relevant is to make them able to attack their entire area of influence or automatically attack anything hostile that moves through their area of influence obviously with reduced accuracy the further out the target and with a lot more weapons then they currently hold.

I'm not saying they shouldn't be if they are undefended and don't have weapons but if armed and armored they should take someone with them but even a small fleet should take them down.  I also think that even though they are only lightly armed shipyards should at least scratch the ship that destroys them.  It seems like any stationary target is automatically destroyed without shooting back at the moment.

I don't think I've been as clear I mean to be so let me try this again.

Starbases are expensive, you have to spam modules at them to make them worthwhile but they are still not very effective militarily and for the cost that's unacceptable.  They are stationary targets and so much easier to kill or avoid so as the guy who built them I want to guy who wants to kill them to think twice before committing ships to kill my starbases.  So for that deterrent I have a few options, loads of armor, not really much help the way combat works in this game.  Really long range weapons so I can start defending myself before the attackers close, so far not an option in this game.  Lastly load up on weapons so when someone does come to destroy my starbase I take some of them with me.  This one seems the most promising for the game.  Especially since it seems each combatant can only target one opponent at a time, I want to take someone with my starbase if I arm it.  I spent a lot of time and effort to build it so I don't want just any single little ship to destroy it.

Personally I'm not a big fan of having to spam ships for freaking everything.  If I didn't have to spend so much time and effort to build the damned starbases I wouldn't be so adamant about starbases with defenses having teeth.  

Having said that I do bow to reality and make sure my starbases have defenders at the moment but I would prefer not to have to spam constructors and put some teeth on my starbases, especially my forward ones.

Since starbases cannot be moved and they can be overwhelmed, they will always have drawbacks. Still I dont see why one should not be able to upgrade a select few in the most important systems, in such a way that they can fight back against a fleet. I will be very expensive, it will take away resources that could have become ships but it will be very satisfying to watch them try to stop a fleet by themselves (and a few escorts/frigats).

Long range missiles and tons of point defense should at least make it a bit costly to engage such a defense base.

I agree starbases defenses should be relevant and should work the same or similar to a large ship, or why even have defenses?   Beyond that there is only so many defenses that can be added to a starbase and that's where docking other ships to defend come into play.

Obviously combat is screwed up with the starbases. A fully outfitted SB should survive any single fighter attack and should put some hit points on most attackers.

Just like no planet survives invasion , it's one of those things that is not done yet.

@Space Voyager Fixed fortifications make for a bad defense because you can always move around them.  However, they do force you to choose a different direction so they can buy time for the mobile defenders to respond.  

Then again, if you were actually going to attack the defense then they make excellent fortifications.  

"According to the official Navy Department Library website, 'The 36-day (Iwo Jima) assault resulted in more than 26,000 American casualties, including 6,800 dead.'

"By comparison, the much larger scale 82-day Battle for Okinawa lasting from early April until mid-June 1945 and U.S. (5 Army and 2 Marine Corps Divisions) resulted in casualties of over 62,000 of whom over 12,000 were killed or missing. Iwo Jima was also the only U.S. Marine battle where the American casualties exceeded the Japanese,[9] although Japanese combat deaths numbered three times as many American deaths. Two US Marines were captured as POWs during the battle; neither of them would survive their captivity. USS Bismarck Sea was also lost, the last U.S. aircraft carrier sunk in World War II."  -- http://en.wikipedia.org/wiki/Battle_of_Iwo_Jima

I just had a base with missiles and upgraded defenses get clean wiped by three small, poorly shielded ships.  It even had a two ship escort which seemed to be ignored.  These ships did not "scramble" and help the fight numbers at all.

I just hope this is because the combat part is not finished.

Single ships should have problems with "running out of ammo" unless they have very advanced weapons and can pack a heck of a wallop. 

i totally disagree 

While I would accept a small ship being able to disable an economic base for a few turns actually destroying a star base should require at least a moderately sized fleet 

as for military star bases , they should be able to destroy anything smaller then a moderate sized fleet and put up a decent fight to anything smaller then a large fleet

starbases are huge and should be extremely well defended...think Deep Space 9 or Babylon 5.  They are valuable targets, but should require forethought and a good size force to destroy.

They should have offensive and defensive capabilities in line with their stats - so either the stats should be changed or the starbases should be changed.

That's pretty much what I'm saying, they should match what it costs to build the things.  Build a fully optimized defensive station and it should be tough.  I would almost say with how much they cost to build they should be armed and armored by default but that doesn't make sense for most races and most of the time your starbases should be in defended areas.  I also have to say to Dragoaskani, how can they be overpowered to be tough to take down when upgraded to be defensive when they don't move, don't attack?  I don't see Stardock actually making them attack at full strength throughout their area of influence, they probably won't let them attack.  They will just be defensive and if they are too tough to take down players will just avoid taking them down and whoever build them is paying more and more to maintain it as they loose territory around it.  We all want this balanced and are making suggestions to try to find that balance.  I think the way Stardock is intending to use defensive starbases is to buff the ships in the area of influence, so throwing a few defensive modules on an economic starbase to make the ships defending your planets and the starbase itself harder to take down.  I'm not a fan of that being the only viable option for defensive starbases.

Until they take down that beta disclaimer you must click to go play space emperor, I am not going to worry about balancing in the game. When Beta is over and the game is declared pretty much ready, I will complain if the sb aren't beefed up a little bit.