Sorry, no online dictionaries contain the exact phrase logarithm of base 1.
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Reverse dictionary results:
1. natural logarithm
 2. napierian logarithm
3. antilogarithm
4. common logarithm
5. ten
6. modulus
7. decibel
8. variety
9. absorbance
10. transmission density
 11. log
12. logarithmic
13. mantissa
14. bel
15. antilog
16. characteristic
17. cologarithm
18. density
19. argument
20. strain
 21. knot
22. radix
23. exponential
24. andiron
25. bark
26. birl
27. briggs
28. bunk
29. cabin
30. crotch chain
 31. cybercafe
32. din
33. end
34. ended
35. ene
36. grate
37. gum
38. jigger
39. nat
40. puncheon

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You can look up the words in the phrase individually using these links:   logarithm ?   of ?   base ?   1 ?
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