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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anti logarithm
The simplest way to do it is to use Logarithms, from a book of Logarithmic Tables and Anti-logarithms. You simply look up the Logarithm of your quantity, then divide that quantity by 2 , and then look up its Anti-logarithm. that will give you the answer.
To take the antilogarithm of a number, you raise the base of the logarithm to the power of that number. For example, if you have a logarithm with base 10 and you want to find the antilog of ( x ), you would calculate ( 10^x ). Similarly, for a natural logarithm (base ( e )), you would compute ( e^x ). This process effectively reverses the logarithmic operation, yielding the original value before the logarithm was applied.
The anti-derivative of 1/x is ln|x| + C, where ln refers to logarithm of x to the base e and |x| refers to the absolute value of x, and C is a constant.
You take the logarithm of each term.