Small inequality

  • B
  • Thread starter Dragonfall
  • Start date
  • #1
1,030
4
What is the smallest n such that

[tex]\lg {n\choose0.15n} + 0.15n \geq {112}[/tex]
 
Last edited:

Answers and Replies

  • #2
member 587159
What is the smallest n such that

[tex]\lg {n\choose0.15n} + {n\choose0.15n} \geq {112}[/tex]
What is lg?
 
  • #4
member 587159
Log base 2
Does the log contain the sum of both combinations? (Then you should have added more brackets)
 
  • #5
1,030
4
Does the log contain the sum of both combinations? (Then you should have added more brackets)

Sorry I formulated the inequality wrong. It's fixed now.

The log only contains the binomial.

I think it might be easier just to do this numerically...
 
  • #6
member 587159
You can try to do:

2^LH = 2^RH

But I think the best approach is a numerical method.
 

Related Threads on Small inequality

  • Last Post
Replies
11
Views
2K
  • Last Post
Replies
6
Views
675
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
7
Views
725
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
3
Views
1K
B
  • Last Post
Replies
1
Views
1K
Top