In an equation y = ax is said to be the index or exponential form and x = logay is said to be in the logarithmic form.
The relationship between the two forms is illustrated below:
The base of the logarithm can be changed. For example, if I would like to change the base of logab , which is a to a base of c, we can use the formula below :
logab = logcb/logca
The logarithm of a given number N, expressed by log N, is the correspondient exponent to the power of 10 that equals the given number. For example:
log 1 = 0 because 100 = 1
log 100 = 2 because 102 = 100
log 0.001 = -3 because 10-3 = 0.001
Thus we find that log P = r if 10r = P.
|The theorems are the following:|