Given that a n b log a b n the logarithm of the number b is only defined for positive real numbers. E ln x x. The log where you can find from calculator is the common logarithm.
Log 10 3 7 log 10 3 - log 10 7 Logarithm power rule.
Therefore 3 is the logarithm of 8 to base 2 or 3 log 2 8. Eg since 1000 10 10 10 10 3 the logarithm base. Logarithms made it easy for people to carry out otherwise difficult operations eg. Expressed mathematically x is the logarithm of n to the base b if b x n in which case one writes x log b n.