Can You Solve This Logarithmic Inequality?

  • Thread starter Thread starter berdan
  • Start date Start date
  • Tags Tags
    Inequality
AI Thread Summary
The discussion centers on solving a logarithmic inequality presented as an exam question. The original poster expresses difficulty in finding a solution and seeks assistance. Participants suggest applying logarithmic laws and changing the base of the logarithms to simplify the problem. They emphasize that while the inequality may seem daunting, using these strategies can lead to a solution. Overall, the conversation focuses on collaborative problem-solving techniques for logarithmic inequalities.
berdan
Messages
31
Reaction score
1

Homework Statement


Here is the problem :
https://www.dropbox.com/s/otzzne7wjyuqa5o/question.jpg?dl=0
I've tried solving this inequality but alas,nothing...It's an exam question for my student,and for my great shame,I have no idea how to solve it :(
 
Physics news on Phys.org
What have you tried so far? I know it looks scary, but why don't you try using some of your laws of logarithms.
 
You might also want to use the fact that
log_a(x)= \frac{log_b(x)}{log_b(a)}
to get the two logarithms to the same base.
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
View full post »

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
View full post »

Similar threads

Solving an inequality for a change of variables
Replies
15
Views
1K
Solving Simultaneous Inequalities
Replies
7
Views
2K
Solving for ##x## for a given inequality
Replies
3
Views
1K
Manipulating an inequality in the bisection method
Replies
2
Views
2K
Can You Solve This Proof Involving Inequalities and Negations?
Replies
10
Views
3K
Solving for x in the Inequality cos(x) ≤ 5/3
Replies
15
Views
3K
Proving Inequalities: Tips and Strategies for Success
Replies
10
Views
2K
Need help solving a Logarithmic Inequality?
Replies
7
Views
3K
Homework inequality -- Show that (a+1)(b+1)(c+1)(d+1) < 8(abcd+1)
Replies
4
Views
5K
Inequality to represent minimum monthly income.
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top