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The Clue

Adverb re a John Napier invention (15 letter answer)

The Answer

LOGARITHMICALLY

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Notes

The answer LOGARITHMICALLY is so rare that it appears less than once every 2500 puzzles.

Definition

LOGARITHMICALLY as an adverb:

1. in a logarithmic manner; "data plotted logarithmically with respect to time is shown in Figure 2"