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swiftskier96

Help!?!?!?!? 17. Solve 1n 2 + 1n x = 5. Round to the nearest thousandth, if necessary.

  • one year ago
  • one year ago

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  1. swiftskier96
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    I tried to put it in on my calculator, but it doesnt work. Either that, or i dont know how to do it.

    • one year ago
  2. artix_17
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    How did u do it?

    • one year ago
  3. swiftskier96
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    I used an online calculator. I typed the whole thing in like it says above, and it says that its unknown.

    • one year ago
  4. artix_17
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    okay so first you have to group the terms together. Unknown on the left and known values on the right. ln x = 5 - ln 2

    • one year ago
  5. swiftskier96
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    Ok.

    • one year ago
  6. artix_17
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    So ln x = \[\log_{e} x\]

    • one year ago
  7. artix_17
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    To find x, you need to move the log base over to the other side Therefore x = e^(5-ln 2)

    • one year ago
  8. swiftskier96
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    Oh ok. That makes sence.

    • one year ago
  9. artix_17
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    You can simplify 5-ln 2 further using calculator

    • one year ago
  10. Yahoo!
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    \[\log_{}a + \log b = \log (ab) \]

    • one year ago
  11. Yahoo!
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    \[\log_{e} 2x = 5\]

    • one year ago
  12. swiftskier96
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    I got 4.3068528194400546905827678785418. (But ill obviously have to shorten it. :)

    • one year ago
  13. swiftskier96
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    So it would be x = e^4.3?

    • one year ago
  14. artix_17
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    Yes :)

    • one year ago
  15. swiftskier96
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    So is that my final answer? Or do i have to solve more of it?

    • one year ago
  16. artix_17
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    though its more accurate to leave it as 5-ln 2, that's your final answer

    • one year ago
  17. swiftskier96
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    Oh ok. Cool! Thanks!!

    • one year ago
  18. artix_17
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    No prob

    • one year ago
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