# Reversed Weighings question [duplicate]

I hope this has an easy answer!

A batch of $$n$$ coins has a single fake coin, which is lighter than the rest.

The idea behind this puzzle is:

What is the largest batch of coins that can have the fake coin identified given $$k$$ weighings?

## marked as duplicate by Bass, Glorfindel, Peregrine Rook, boboquack, QuintecOct 28 '18 at 1:12

We can find the fake coin in $$k$$ weighings
From at most $$3^k$$ coins.