Exponentiation

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Three functions using exponentiation and one function using logarithm.

I am occasionally confused by the word 'exponentiation' and wonder if the graphic helps clarify terminology. The text and mathematical expressions should be correct and when regarded as so, the graphic (or an improved version) might be found on the appropriate page(s).

my articles

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projects

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Felix De Cola

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i'm thinking of writing a biography of my father, Felix De Cola, born Felix Mendelssohn Ginsburg 1906-1984.

i'm looking for guidance - wikipedia has a long article on bios of LIVING people.

Exponential table

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                                      BASE                                 base-10
EXPONENT    2                     e*                      10                prefix
––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
   10   1,024                22,026.465 795   10,000,000,000
    9     512                 8,103.083 928    1,000,000,000                 giga-
    8     256                 2,980.957 987      100,000,000
    7     128                 1,096.633 158       10,000,000
    6      64                   403.428 793        1,000,000                 mega-
    5      32                   148.413 159          100,000
    4      16                    54.598 150           10,000
    3       8                    20.085 537            1,000                 kilo-
    2       4                     7.389 056              100                hecto-
    1       2                     2.718 282               10                 deca-
    0       1                     1                        1                 unit
   -1       0.5                   0.367 879                0.1               deci-
   -2       0.25                  0.135 335                0.01             centi-
   -3       0.125                 0.049 787                0.001            milli-
   -4       0.062 5               0.018 316                0.000 1
   -5       0.031 25              0.006 738                0.000 01
   -6       0.015 625             0.002 479                0.000 001        micro-
   -7       0.007 812 5           0.000 912                0.000 000 1
   -8       0.003 906 25          0.000 335                0.000 000 01
   -9       0.001 953 125         0.000 123                0.000 000 001     nano-
  -10       0.000 976 562 5       0.000 045                0.000 000 000 1
                               *values rounded to
                                6 decimal places