It is a formula which is completely written in terms of with another base. It is very much helpful for using a calculator that is needed for evaluation of log to any base other than 10 or e. Logarithm expression are written with a base that cannot be simplified easily. When this kind of scenario comes into picture, people can make changes in the base formula that needs to be worked in. Logarithm equation are completely written with a base which cannot be easily calculated. Scientific calculator has been designed so that it can calculate logs which have base of 10. Solution of logs come up with other base that is easily available on charts and even simple calculation. The base is 3 and problem is the extent exponent 3 should be raised so that the overall value stands up to 9.  At the time of conversion of exponential forms, the equation stands at 7^x =13. This particular problem cannot be solved without looking through the table or guessing a number of times.

The most convenient method to solve a problem which is needed for changing the base formula. It will help in changing the base for any logarithm to much more usable. It will make use of base of 10 as this is place where calculator is used. The change of base method is given below:

This can be used for solving the example that can plug a number so that they will get equation. The log come up with the base of 10.

Fig 1: Change of Base Formula