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anonymous
 one year ago
Please Help! I will fan and medal. Use the inverse properties of logarithms to simplify the expression.
e^(ln 3)
anonymous
 one year ago
Please Help! I will fan and medal. Use the inverse properties of logarithms to simplify the expression. e^(ln 3)

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Rule: \[\LARGE e^{\ln(x)} = x\] \[\LARGE \ln\left(e^x\right) = x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is that the simplified equation? @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you will use one of those two equations to answer the question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do i know which one

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the question is e^(ln(3)) there's only one number in it: 3 so why not replace x with 3

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1and then try to match up the question with one of the equations given above

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay so it would be the first equation? @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that is correct

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1replace x with 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0e^(ln(3))=3 @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the 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
 one year ago
Best ResponseYou've already chosen the best response.0alright so now what? @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're done. The answer is 3

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\LARGE e^{\ln(x)} = x\] \[\LARGE e^{\ln(3)} = 3\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\(\LARGE e^{\ln(3)}\) simplifies to \(\LARGE 3\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the answer is 3 @jim_thompson5910

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're welcome
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