Examples of logarithms, Mathematics

Examples of logarithms:

log2  8 = 3                                            since    8 = 23

log10  0.01 = -2                                    since    0.01 = 10-2

log5  5 = 1                                            since    5 = 51

logb  1 = 0                                            since    1 = b

From the above illustration, it is evident that a logarithm is an exponent. 34 is called the exponential form of the number 81.  In logarithmic form, 34 would be expressed as log 81 = 4, or the logarithm of 81 to the base 3 is 4. Note the symbol for taking the logarithm of the number 81 to a particular base 3, is log3 81, where the base is indicated by a small number written to the right and slightly below the symbol log.

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