anonymous
  • anonymous
What is the value of x if e^3x+6=8?
Mathematics
katieb
  • katieb
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Nnesha
  • Nnesha
\[\huge\rm e^{3x+6}=8\] how would you cancel out the `e` ? do you know ?
anonymous
  • anonymous
subtract it on both sides?
anonymous
  • anonymous
no nvm

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Nnesha
  • Nnesha
no you should take `ln` both sides to cancel out the `e` here is an example \[\huge\rm \cancel{ln e}^x = x\]
Nnesha
  • Nnesha
if hte question is \[\huge\rm e^9\] i would take ln \[\huge\rm ln e^9\] which cancel out the e answer would by 9
anonymous
  • anonymous
mc020-2.jpg mc020-3.jpg mc020-4.jpg mc020-5.jpg
Nnesha
  • Nnesha
???
Nnesha
  • Nnesha
take ln both sides just like u take square or square root both sides
anonymous
  • anonymous
i think x= ln6-8/3 ?
Nnesha
  • Nnesha
ln = natural log
Nnesha
  • Nnesha
no
anonymous
  • anonymous
oh x= ln8+6/3
Nnesha
  • Nnesha
don't post answer choices one by one...
Nnesha
  • Nnesha
\[\huge\rm lne^{3x+6}=ln8\] noow go from here!
Nnesha
  • Nnesha
ln and e cancel each other out!
anonymous
  • anonymous
so 3x+6=ln8 is whats left?
Nnesha
  • Nnesha
yes right now solve for x!!
Nnesha
  • Nnesha
how would you cancel out the 6 from the left side ?
anonymous
  • anonymous
subtract 6
Nnesha
  • Nnesha
good right so x= ??
anonymous
  • anonymous
8-6/3
Nnesha
  • Nnesha
it's not just 8
Nnesha
  • Nnesha
\(\color{blue}{\text{Originally Posted by}}\) @Nnesha \[\huge\rm lne^{3x+6}=ln8\] noow go from here! \(\color{blue}{\text{End of Quote}}\) ln8 not just 8
anonymous
  • anonymous
ln8-6/3 srry
Nnesha
  • Nnesha
looks good!
anonymous
  • anonymous
thank you

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