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 […]
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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 […]
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