# Small inequality

• B
Dragonfall
What is the smallest n such that

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

Last edited:

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

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...

You can try to do:

2^LH = 2^RH

But I think the best approach is a numerical method.