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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)

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  1. jim_thompson5910
    • one year ago
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    Rule: \[\LARGE e^{\ln(x)} = x\] \[\LARGE \ln\left(e^x\right) = x\]

  2. anonymous
    • one year ago
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    Is that the simplified equation? @jim_thompson5910

  3. jim_thompson5910
    • one year ago
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    you will use one of those two equations to answer the question

  4. anonymous
    • one year ago
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    how do i know which one

  5. jim_thompson5910
    • one year ago
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    the question is e^(ln(3)) there's only one number in it: 3 so why not replace x with 3

  6. jim_thompson5910
    • one year ago
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    and then try to match up the question with one of the equations given above

  7. anonymous
    • one year ago
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    Okay so it would be the first equation? @jim_thompson5910

  8. jim_thompson5910
    • one year ago
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    that is correct

  9. anonymous
    • one year ago
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    So what now

  10. jim_thompson5910
    • one year ago
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    replace x with 3

  11. anonymous
    • one year ago
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    e^(ln(3))=3 @jim_thompson5910

  12. jim_thompson5910
    • one year ago
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    yes

  13. jim_thompson5910
    • one year ago
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    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

  14. anonymous
    • one year ago
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    alright so now what? @jim_thompson5910

  15. jim_thompson5910
    • one year ago
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    you're done. The answer is 3

  16. jim_thompson5910
    • one year ago
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    \[\LARGE e^{\ln(x)} = x\] \[\LARGE e^{\ln(3)} = 3\]

  17. jim_thompson5910
    • one year ago
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    \(\LARGE e^{\ln(3)}\) simplifies to \(\LARGE 3\)

  18. anonymous
    • one year ago
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    so the answer is 3 @jim_thompson5910

  19. jim_thompson5910
    • one year ago
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    yes

  20. anonymous
    • one year ago
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    thank you @jim_thompson5910

  21. jim_thompson5910
    • one year ago
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    you're welcome

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