Adverb +する/なる

Please read Nounにする・なる first. 
Adverb + する and Adverb + なる are like the noun version, are similar patterns.

• The する version implies that someone (i.e. the speaker) did something.
• The なる version implies a natural change. (i.e. nature/time did it)

Both patterns can only be used with an adverb. More specifically (in most cases), an adverb formed from an adjective. 

Adverbial conjugation of adjectives review:

• い Adjectives: changing the last い to く.
• な adjectives: use に instead of な.

This means these patterns can look like either:

• ～くする/なる(い adjectives) or
• ～にする/なる (な adjectives)

Examples

• あかくする – Make (it) red(der). (implies it was less/not red)
• たのしくする – Make (it) fun. 
• 静にする – Make (it) into quiet. → Make it quiet. 
• こえを大きくした – Made (their) voice big → Made (their) voice bigger.
• きれいにする – Make it into clean — Make it clean. (wasn’t clean)

に/く Note

• The くする pattern feels like “make it more x“.
  
  • This is probably in part due to ～くなる being used for gradual change. (see below)
• にする feels more like “make into X”, due to に being a final state marker.

～くなる or ～になる means “to become X”.  There is no actor here. It cannot be used for things someone did (to something).

Examples

• あかくなる – (will) Become red(ish).
• たのしくなる – (will) Become fun.
• 静になった – Became quiet.
• 子供は大きくなる – Children get (become) bigger. 
  
  

くなる vs になる

くなる is used for more gradual changes. “become more X”
になる is used for a generic or quick change. (に is final state marker)

• あかくなる – Turn red./Turn redder (Become redder until red)
• あかになる – (will) become red.
• 赤くなった – Got redder
• 赤になった – Became red. 

This nice poster put it like this:

• 赤になる – Is like a traffic light
• 赤くなる – Is like blushing