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linda

  • 5 years ago

14e^9x-42 +5=500

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  1. Linda
    • 5 years ago
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    solve for x

  2. anonymous
    • 5 years ago
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    Is the 9x the exponent on e or is it the quantity of (9x-42)?

  3. Linda
    • 5 years ago
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    9x-42 is the whole exponent on the e

  4. anonymous
    • 5 years ago
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    Ok. Kind of like the last problem. Subtract the 5 so you get 14e^(9x-42)=495.

  5. anonymous
    • 5 years ago
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    Divide both sides by 14 to get e^(9x-42)=495/14

  6. Linda
    • 5 years ago
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    yeah i did that, and then i divided 14 by 495 so i ended up with e^9x-42=35.357

  7. Linda
    • 5 years ago
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    oh ok great so that was right, im stuck after that

  8. anonymous
    • 5 years ago
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    Ok. Now we go back to the ln and e functions. Like I said before they are inverses of each other so they cancel each other out. e^(ln1)=1 and ln(e)=1. We need to use these properties again here.

  9. Linda
    • 5 years ago
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    ok, so do i change e to ln?

  10. anonymous
    • 5 years ago
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    What you need to do is get rid of the e so you can isolate x. To do this take ln of both sides.

  11. Linda
    • 5 years ago
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    ohhh, so does that leave me with just 9x-42 on one side?

  12. anonymous
    • 5 years ago
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    Yes and then ln of whatever that number is on the other.

  13. Linda
    • 5 years ago
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    ok, makes sense now. thanks!

  14. anonymous
    • 5 years ago
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    You're welcome. I don't know if you need exact form or approximate, but seems like you are getting it.

  15. Linda
    • 5 years ago
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    ok, makes sense now. thanks!

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