what is a log?????!!!!!

A log is an exponent.

For example  log₂8 = 3  because 2³ = 8.

                      log₂8 = x  can be converted to  2^x = 8  (where x becomes the exponent)

    so, the answer to the log problem (the 'x') becomes the exponent.

A log is a "system" that allows for you to determine what power you need to raise a number to to get a specific number.

Ex: log₂ 4=x  x would be equal to 2, and the base would be the subscrtipt which is 2. So esentiallty what it is saying is that 2 squared equals 4.