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Is log4(18) an Irrational Number?

Thread starter CPatCU
Start date Oct 4, 2011
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Irrational

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CPatCU

Thread starter
Oct 4, 2011

#1

Homework Statement

log₄18
rational numbers are in form x/y

Homework Equations

log_ab = log_cb / log_ca

The Attempt at a Solution

log₂18 / log₂18 = x/y
(b) log₂18 = (a) log₂18
log₂18^b = log₂18^a

Then I am stuck.

on Phys.org

CPatCU

Oct 4, 2011

#2

Sorry, the problem is prove that log(4)18 is irrational. I also realize that this should be done as a contradiction, I am just not sure how to do it.

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