Logarithm

In mathematics, the logarithm is the reverse operation exponentiation. This means that the logarithm of a number is the exponent of another fixed value, the base, must be raised to produce that number. In simple cases of repeated accusations logarithmic multiplication.  For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000(1000 = 10 × 10 × 10 = 10³); the multiplication is repeated three times. More commonly, exponentiation allow any positive real number will be raised to any real power, always positive results, so the logarithm can be calculated for any two positive real numbers and x b where b is not equal to 1.The logarithm of x to base b, denoted log_b(x), is the unique real number y such that

b^y = x.

For example, as 64 = 2⁶, then:

log₂(64) = 6