anonymous
  • anonymous
Please Help! I will fan and medal. Use the inverse properties of logarithms to simplify the expression. e^(ln 3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
Rule: \[\LARGE e^{\ln(x)} = x\] \[\LARGE \ln\left(e^x\right) = x\]
anonymous
  • anonymous
Is that the simplified equation? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
you will use one of those two equations to answer the question

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More answers

anonymous
  • anonymous
how do i know which one
jim_thompson5910
  • jim_thompson5910
the question is e^(ln(3)) there's only one number in it: 3 so why not replace x with 3
jim_thompson5910
  • jim_thompson5910
and then try to match up the question with one of the equations given above
anonymous
  • anonymous
Okay so it would be the first equation? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
that is correct
anonymous
  • anonymous
So what now
jim_thompson5910
  • jim_thompson5910
replace x with 3
anonymous
  • anonymous
e^(ln(3))=3 @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
the e^x and ln(x) functions are inverses of each other one goes forward, the other takes you in reverse so they undo each other it's like multiplication and division
anonymous
  • anonymous
alright so now what? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
you're done. The answer is 3
jim_thompson5910
  • jim_thompson5910
\[\LARGE e^{\ln(x)} = x\] \[\LARGE e^{\ln(3)} = 3\]
jim_thompson5910
  • jim_thompson5910
\(\LARGE e^{\ln(3)}\) simplifies to \(\LARGE 3\)
anonymous
  • anonymous
so the answer is 3 @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
thank you @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
you're welcome

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