Question

Use the Laws of Logarithms to expand the expression.

Answer 1

\[\log_{6} (x \sqrt{y})\]

Answer 2

\[\log_6(x \sqrt{y})=\log_6(x)+\log_6(y^{\frac{1}{2}})=\log_6(x)+\frac{1}{2}\log_6(y)\]

Answer 3

\[\log_{6} (x) + \log_{6} \sqrt{y} = \log_{6} (x) + \log_{6}y ^{1/2} = \log_{6} (x) + (1/2)\log_{6}y\]

Answer 4

which is it?

Answer 5

they are both the same... we were racing.. just a bit different "looking" but they are the same... I'd go with his because it's easier to read then mine...

Answer 6

learning log properties can be a challenge...