The Sum of the First n Positive Integers

According to an anecdote, the math genius Carl Friedrich Gauss, added all the numbers from 1 through 100 when he was at a very young age. The sum of the first positive 100 integers is 5050 and Gauss was able to give this sum in less than a minute. True or not, how can we […]
Continue reading…

 

The Power Law of Logarithms

This is the third post in the Law of Logarithm Series, the first is the the product law of logarithms¬†and the second is the quotient law of logarithms. In this short post, we prove the power law or the power rule of logarithms. That is,¬†. Theorem Proof Let . This is equivalent to in exponent […]
Continue reading…