Small Inequality: What Is n?

[Dragonfall]

What is the smallest n such that

$$\lg {n\choose0.15n} + 0.15n \geq {112}$$

 

[member 587159]

What is the smallest n such that

$$\lg {n\choose0.15n} + {n\choose0.15n} \geq {112}$$

What is lg?

 

[Dragonfall]

What is lg?

Log base 2

 

[member 587159]

Log base 2

Does the log contain the sum of both combinations? (Then you should have added more brackets)

 

[Dragonfall]

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...

 

[member 587159]

You can try to do:

2^LH = 2^RH

But I think the best approach is a numerical method.