On the dance floor half a dozen couples were throwing themselves around with the reckless abandon of a night watchman with arthritis.

Is there more to this question? The only math question I can think of that would go with this is for us to tell what a half dozen is equal to. If that is the case, the answer is 6.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.