linda
  • linda
14e^9x-42 +5=500
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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linda
  • linda
solve for x
anonymous
  • anonymous
Is the 9x the exponent on e or is it the quantity of (9x-42)?
linda
  • linda
9x-42 is the whole exponent on the e

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anonymous
  • anonymous
Ok. Kind of like the last problem. Subtract the 5 so you get 14e^(9x-42)=495.
anonymous
  • anonymous
Divide both sides by 14 to get e^(9x-42)=495/14
linda
  • linda
yeah i did that, and then i divided 14 by 495 so i ended up with e^9x-42=35.357
linda
  • linda
oh ok great so that was right, im stuck after that
anonymous
  • anonymous
Ok. Now we go back to the ln and e functions. Like I said before they are inverses of each other so they cancel each other out. e^(ln1)=1 and ln(e)=1. We need to use these properties again here.
linda
  • linda
ok, so do i change e to ln?
anonymous
  • anonymous
What you need to do is get rid of the e so you can isolate x. To do this take ln of both sides.
linda
  • linda
ohhh, so does that leave me with just 9x-42 on one side?
anonymous
  • anonymous
Yes and then ln of whatever that number is on the other.
linda
  • linda
ok, makes sense now. thanks!
anonymous
  • anonymous
You're welcome. I don't know if you need exact form or approximate, but seems like you are getting it.
linda
  • linda
ok, makes sense now. thanks!

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