When a former soldier’s young daughter is kidnapped, he will do everything in his power to take down those responsible to rescue her.

This logline would be helped with some specifics.

As DPG mentioned, from how it’s written it could be a ‘Taken’ clone. Adding some specifics would help distinguish your script from other movies.
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1) “… must do everything in his power”: This line doesn’t tell us anything, you should give us something specific he must do, ‘infiltrate the mob’ ‘sneak onto air force one’, ‘disguise himself as a woman to infiltrate a beauty pageant’.

2) “…take down those responsible”: While you only have a couple of words to play with, you should give the reader some information about who took his daughter. ‘When middle eastern terrorist kidnap his daughter’, ‘when a South American drug lord kidnaps his daughter’, ‘When an evil kids show host take his daughter hostage’.

Once you do this, your loline will give the reader a better idea of what your story is about and not sound like any other movie: Here is an example.

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“When an evil kids-show-host takes his daughter hostage, a former Green Baret must disguise him self as a purple dinosaur and infiltrate the TV station.”
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While your logline will be different, adding specifics will greatly improve the logline and show the reader it’s unique hook.

Hope that helped, good luck with this!