Log laws

There are 4 different laws for logarithms.  If M and N are positive real numbers and b is a positive number other than 1, then the first rule we have is log b MN= log b M+ log b N.  The second rule is if log b M/N=log b M-log b N.  The third rule is log b M= log b N if and only if M=N.  The last rule you need to know is log b M^k=k log b M for any real number k.  Use this rule when your trying to solve an exponent.

ex: log 5 2+ log 5 3= log 5 2*3= log 5 6
This is the first rule you need to know.  When you have addition of the logs, you multiply them together and get your answer.

ex:  log 18- log 2= log 18/log 2= log 9
This is the second rule you need to know.  When you have subtract of the logs, you divide the logs and solve for your answer.