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Plots of logarithm for bases 0.5, 2 and e. In mathematics, the logarithm is the inverse operation to exponentiation, just as division is the inverse of multiplication and vice versa. That means the logarithm of a number is the exponent to which another fixed number, the base, must be raised to produce that number. In simple cases the logarithm counts factors in multiplication.
Logb (x)=y is called the logarithmic form. where logb means log with base b So to put this in exponential form we let b be the base and y the exponent by=x. Here is an example log2 8=3 since 23 =8. In this case the term on the left is the logarithmic form while the one of the right is the exponential form.