Question 56704
write as a single log:
{{{2log(2)+3log(x)-(1/2)(log((x+3))+log((x-2)))}}}
The rules we are going to use are:
{{{highlight(log(a)+log(b)=log(ab))}}}
{{{highlight(log(a)-log(b)=log(a/b))}}}
{{{highlight(mlog(a)=log(a^m))}}}
:
{{{log(2^2)+log(x^3)-(1/2)(log((x+3)(x-2)))}}}
{{{log(4)+log(x^3)-log((((x+3)(x-2)))^(1/2))}}}
{{{log(4*x^3)-log(sqrt((x+3)(x-2)))}}}
{{{highlight(log((4x^3/(sqrt((x+3)(x-2))))))}}}
Happy Calculating!!!