The common logarithm of x, often written simply as log x, is the logarithm to the base 10. If x is an integer, this measures the number of bits it takes to write x. We will not use this notation in CalculusQuest TM . The number of bits needed to write the positive integer x in base 2 is obtained by rounding UP the number log 2 x. The last rule shows that all logarithmic functions are the same except for a constant multiple.
Logarithmic growth is slower than that of any rational function.