Question 633359
Good try at getting the problem to display as you would write it on paper.
I have been working on this website for about a year and do not always get it to show what I want.
I am betting that the problem was not exactly as it shows.
I am betting that the problem was
3loga-logb-(1/2)logc=3loga-logb-(logc)/2 , or
{{{3loga-logb-1/2}}}{{{logc=3loga-logb-(logc)/2}}}
You get to use the following properties of logarithms:
{{{x*log(y)=log((y^x))}}} , {{{log(x)+log(y)=log(xy)}}} , and {{{log(x)-log(y)=log(x/y)}}}
{{{3loga-logb-1/2}}}{{{logc=log((a^3))-log((b))-log((c^(1/2)))=log((a^3))-(log((b))+log((c^(1/2))))= log((a^3))-log((bc^(1/2)))= log((a^3/bc^(1/2)))}}}={{{log((a^3/(
b*sqrt(c))))}}}