Express in single log and find the solutions for...

Question

suwhitney · Answer

$$\log_{3}x +\log_{3} (x+3)=3+\log_{500} 1$$

Please help :/ Thank you :)

anonymous · Answer

wat's so tough? it's easy

anonymous · Answer

log(x)(x+3) base 2 = log500^3 base 500 + log(1) base 500........
can u take it from here?

anonymous · Answer

hint, $\log_b(1)=0$ because $b^0=1$ 
ignore that part

anonymous · Answer

in other words, start with 
$$\log_{3}x +\log_{3} (x+3)=3$$ then combine the left in to a single log, get 
$$\log_3(x(x+3))=3$$ 
rewrite in equivalent exponential form as 
$$x(x+3)=3^3$$
solve a  nice quadratic equation

suwhitney · Answer

I understand how to get the $$\log_{3}(x(x+3))=3 $$ part, but how do you get $$x(x+3)=3^3$$ afterwards?

suwhitney · Answer

And @A.Avinash_Goutham obviously I need help, otherwise I wouldnt be here. You dont have to be rude..

anonymous · Answer

rude? i was? sorry o.o

suwhitney · Answer

@satellite73? Could you help me a little more please.

suwhitney · Answer

Anybody?