Hi, I need help writing

log(x^2-9)-log(x^2+7x+12) as a single logarithm. Thankyou!

since there is a subtraction sign in between that means you divide the two terms...so it would be log(x^2-9/x^2+7x+12) you can go further and factor the two...so by factoring you get log[(x-3)(x+3)/(x+3)(x+4)] the cancel out the terms remaing log[x-3/x+4]...is that helpful?

yes very helpful! Thankyou

You're welcome! I'm glad I could be of help. If you have any more questions, feel free to ask!