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The main use for a logarithm is to find an exponent.

If N = a^x

Then if we are told to find that exponent of the base (b) that will equal that value of N then the notation is:

log N

....b

And the result is

x = log N

..........b

Such that b^x = N

N is often just called the "Number", but it is the actuall value of the indicated power. b is the base (of the indicated power), and x is the exponent (of the indicated power).

We see that the main use of a logarithm function is to find an exponent.

The main use for the antilog function is to find the value of N given the base (b) and the exponent (x)

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