anonymous
  • anonymous
log9(x+6)-log9x=log9 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
9 is base I'm just asking whether this is even solvable
zzr0ck3r
  • zzr0ck3r
hint \(\log_9(x+6)-\log_9(x)=\log_9(2)\\\log_9(\frac{x+6}{x})=\log_9(2)\\\frac{x+6}{x}=2\)
zzr0ck3r
  • zzr0ck3r
can you solve that?

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anonymous
  • anonymous
that's what i ended up with
zzr0ck3r
  • zzr0ck3r
good work
anonymous
  • anonymous
well then what do you put as final answer just that?
zzr0ck3r
  • zzr0ck3r
you can always check to see if your right here http://www.wolframalpha.com/input/?i=log9%28x%2B6%29-log9%28x%29%3Dlog9%282%29
zzr0ck3r
  • zzr0ck3r
no
zzr0ck3r
  • zzr0ck3r
solve for x
zzr0ck3r
  • zzr0ck3r
\(\dfrac{x+6}{x}=2\)
zzr0ck3r
  • zzr0ck3r
multiply both sides by \(x\) \(x+6=2x\)
anonymous
  • anonymous
u end up with 6=2?
anonymous
  • anonymous
oooh
zzr0ck3r
  • zzr0ck3r
no of course not, 6 is not equal to 2
anonymous
  • anonymous
ima dumbass
zzr0ck3r
  • zzr0ck3r
if you are having problems solving this, I would go back and review old material. You should not be working on logs if you cant solve this IMO
zzr0ck3r
  • zzr0ck3r
\(x+6=2x \implies x=6\)
anonymous
  • anonymous
lol thanks for the help

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