Purchase Solution

Proving Irrationality

Not what you're looking for?

Ask Custom Question

Show that log(r), where this is log base 10, is irrational when r is a positive rational that is not an integral power of 10

I have already proven that e^r is irrational for all rational numbers r

Purchase this Solution

Solution Summary

The expert shows that a log is irrational for a positive rational power.

Solution Preview

Lets assume log(r) is rational so we can write;

log(r)=m/n where m and n ...

Purchase this Solution


Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.