logarithmically       
adverb uk/ˌlɒɡ.ərˈɪð.mɪ.kəl.i/ us/ˌlɑː.ɡəˈrɪθ.mɪ.kəl.i/
 对数上
in a way that relates to a logarithm (= a number that shows how many times a number has to be multiplied by itself to produce another number)
  The auto industry has grown logarithmically around the world. 汽车工业在全球范围内呈对数增长。 
 Pitch scale is logarithmically related to frequency.  音高尺度与频率呈对数关联。 
 See: logarithm
 - More examples
 - In a collaboration, as you add more people, the complications increase logarithmically, not just mathematically.
 - Adult cells grew logarithmically in medium supplemented with whole blood serum.
 - The tiniest room at an ultra-luxurious hotel is more than $1,000 a night, with suites logarithmically higher.