How do you condense 2log5xlog5y?

1 Answer
Apr 11, 2016

log(x2y)

Explanation:

Condense the first log, using the law that a coefficient outside a logarithm is the same as a power inside.

2log5x=log5x2

Now condense everything, knowing that logalogb=log(ab).

log5x2log5y=log(5x25y)=log(x2y)