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Nnesha (nnesha):
\[\huge\rm e^{3x+6}=8\]
how would you cancel out the `e` ? do you know ?
OpenStudy (anonymous):
subtract it on both sides?
OpenStudy (anonymous):
no nvm
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
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OpenStudy (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
OpenStudy (anonymous):
i think x= ln6-8/3 ?
Nnesha (nnesha):
ln = natural log
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Nnesha (nnesha):
no
OpenStudy (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!
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OpenStudy (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 ?
OpenStudy (anonymous):
subtract 6
Nnesha (nnesha):
good right so x= ??
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OpenStudy (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
OpenStudy (anonymous):
ln8-6/3 srry
Nnesha (nnesha):
looks good!
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