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# Log (Logarithm) Calculator

Enter x and b to calculate logbx:
 Number (x): Base (b): 2, e, 10, etc.
log101 =
0

The Log (Logarithm) Calculator is used to calculate the logarithm logbx for a base b and a number x.

## Logarithm

The logarithm of a number x with respect to base b is the exponent to which b has to be raised to yield x. In other words, the logarithm of y to base b is the solution y of the following equation:

by = x

And for any x and b, there is:

x = logbbx

The logarithm to base b = 10 is called the common logarithm and has many applications in science and engineering. The natural logarithm has the constant e (approximately equal to 2.718281828) as its base. The binary logarithm uses base b = 2 and is prominent in computer science.

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