# B Small inequality

1. Apr 24, 2016

### Dragonfall

What is the smallest n such that

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

Last edited: Apr 24, 2016
2. Apr 24, 2016

### Math_QED

What is lg?

3. Apr 24, 2016

### Dragonfall

Log base 2

4. Apr 24, 2016

### Math_QED

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

5. Apr 24, 2016

### Dragonfall

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. Apr 25, 2016

### Math_QED

You can try to do:

2^LH = 2^RH

But I think the best approach is a numerical method.