anonymous
  • anonymous
4e^(X^2)=800 solve for x satellite where are you?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
right here
anonymous
  • anonymous
divide by 4
anonymous
  • anonymous
\[e^{x^2}=200\]

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anonymous
  • anonymous
rewrite in equivalent logarithmic form
anonymous
  • anonymous
\[x^2=\ln(200)\]
anonymous
  • anonymous
solve for x: \[x=\pm\sqrt{\ln200}\]
anonymous
  • anonymous
also note that \[ln(200)=ln(2\times 100)=ln(2)+ln(100)=ln(2)+ln(10^2)\] \[=ln(2)+2ln(10)\]
anonymous
  • anonymous
not that this helps much
anonymous
  • anonymous
k?
anonymous
  • anonymous
for sure? i had x^2lne=ln200.....then x^2+1=ln 200.....is that wrong?
anonymous
  • anonymous
ok but \[x^2\ln(e)=x^2\times 1 =x^2\]
anonymous
  • anonymous
not \[x^2+1\]
anonymous
  • anonymous
ohh......okay....i see why that was wrong. you are amazing ;)
anonymous
  • anonymous
don't take that step in any case. remember that \[e^x=y\] says exactly the same thing as \[y=\ln(x)\]
anonymous
  • anonymous
you are taking too many steps. write in "equivalent logarithmic form" and you will not have to mess with \[\ln(e)\]
anonymous
  • anonymous
okay thank you
anonymous
  • anonymous
welcome!
anonymous
  • anonymous
i gotta run, do you have another quick one?
anonymous
  • anonymous
convert log$3(22) into natural. is it ln22/ln3?
anonymous
  • anonymous
yes change of base formula you have it.
anonymous
  • anonymous
okay bye.wish i could put you in my pocket. hope to find you again

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