anonymous
  • anonymous
3^(x^2+5x+32)=81^(3-x)
Algebra
schrodinger
  • schrodinger
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anonymous
  • anonymous
I don't understand @OOOPS
anonymous
  • anonymous
do you divide (x^2+5x+32) by 3-x?
anonymous
  • anonymous
well your question wasnt really clear

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mathstudent55
  • mathstudent55
\(\Large 3^{x^2+5x+32}=81^{3-x}\) \(\Large 3^{x^2+5x+32}=(3^4)^{3-x}\) \(\Large 3^{x^2+5x+32}=3^{12-4x}\) \(\Large x^2+5x+32=12-4x\) Solve the quadratic above.
anonymous
  • anonymous
@mathstudent55 would i make it into 0?
misty1212
  • misty1212
HI!!
anonymous
  • anonymous
hello!
misty1212
  • misty1212
\[x^2+5x+32=12-4x\] is what you have to solve right?
misty1212
  • misty1212
add \(4x\) and subtract \(12\) to get \[x^2+9x+20=0\]
misty1212
  • misty1212
fortunately for you this one factors so it is easy to solve
anonymous
  • anonymous
i got (x+5)(x+4) so i then equal it to 0 to find x?
anonymous
  • anonymous
misty1212
  • misty1212
yes
misty1212
  • misty1212
you can probably do it in your head
anonymous
  • anonymous
so its -5 and -4
misty1212
  • misty1212
oui
misty1212
  • misty1212
\[\color\magenta\heartsuit\]
anonymous
  • anonymous
thank you so much!!!
misty1212
  • misty1212
you are welcome dear

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