Learn Turkish: Çözünürlüğü düşürebildiğin kadar düşür. - Reduce the resolution as much as you can.

This is the core structure for doing something "as much as one can". It combines the verb stem düşür (reduce) with the ability suffix -ebil, the participle -dik, and the 2nd person singular possessive -in. When followed by kadar (as much as), düşürebildiğin kadar literally translates to "up to the amount of your ability to reduce".

What is the dictionary form of Çözünürlüğü and why is there a -ğ-?

The dictionary form is çözünürlük (resolution). Because it is the specific direct object of the verb (you are reducing the resolution), it takes the accusative case suffix -ü. Adding this vowel suffix to a word ending in -k causes the -k to soften into a -ğ-.

Is the verb stem düşür related to düşmek (to fall)?

Yes! Düşmek means "to fall" (an action that happens on its own), while adding the causative suffix -ür makes it düşürmek. This changes the meaning to "to make something fall", "to drop something", or in this context, "to reduce or lower".

Why does düşür appear twice in this sentence?