Proof that the Solution of 3^x = 8 is Irrational

In this post, we discuss another example of proof by contradiction. We are going to prove that the solution of the equation 3^x = 8 is irrational. Theorem The solution to the equation is irrational. Proof In proof by contradiction, we assume the opposite of the theorem and then find a contradiction somewhere in the […]
Continue reading…

 

Proof that Square Root of Three is Irrational

Introduction In The Intuitive Proof of the Infinitude of Primes, I showed you a proof strategy called proof by contradiction.  In this post, we use this strategy to prove that is irrational.  In proof by contradiction, if the statement P is true, you have to assume the contrary, and then find a contradiction somewhere. Note […]
Continue reading…