Relation between ln x and log x
Normally logarithm tables to base 10 are available and provided to students. They should know to
calculate logs of numbers to base 'e' using the same tables. The conversion is explained below:
| ln x | = | loge x |
| = |  [∵ Change
of base law]
|
|
| = |  |
|
| = | 2.3026 . log10 x | |
| ∴ ln x | = | 2.3026 . log x |
Therefore, to change from base 10 to base 'e', we may use either of the following:
