# Small inequality

• B
What is the smallest n such that

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

Last edited:

member 587159
What is the smallest n such that

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

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)

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.