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anonymous
 5 years ago
Evaluate the following expressions. Your answers must be exact and in simplest form.
lne^11=?
e^(ln4)=?
e^(lnsqrt(3))=?
ln(1/(e^2))=?
i would like to know the steps please:)
anonymous
 5 years ago
Evaluate the following expressions. Your answers must be exact and in simplest form. lne^11=? e^(ln4)=? e^(lnsqrt(3))=? ln(1/(e^2))=? i would like to know the steps please:)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[ln(e^x)=x\] so \[ln(e^{11})=11\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0similarly \[e^{ln(x)}=x\] so \[e^{ln(4)}=4\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and \[e^{ln(\sqrt{3})}=\sqrt{3}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for the last one, \[ln(\frac{1}{x})=ln(x)\] so \[ln(\frac{1}{e^2})=ln(e^2)=2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0btw \[ln(\frac{a}{b})=ln(a)ln(b)\]so \[ln(\frac{1}{b})=ln(1)ln(b)=ln(b)\]because \[ln(1)=0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0welcome. hope it is clear!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh yea def going in my notes lol :D

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yea so i can remember them and cram them in my head hahaha

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well its easy just gotta remember haha
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