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anonymous

  • 5 years ago

e^x4=1000

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  1. anonymous
    • 5 years ago
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    to cancel out e you have to take the ln to both sides\[\ln( e ^{(4*x)})=ln(1000)\] \[{(4*x)}=ln(1000)\] \[{(x)}=(ln(1000))/4\]

  2. anonymous
    • 5 years ago
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    I thought I had to 4th root each side because I am left with x^4=ln1000?

  3. anonymous
    • 5 years ago
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    Am I wrong?

  4. anonymous
    • 5 years ago
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    its xto the 4th not 4*x?

  5. anonymous
    • 5 years ago
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    What is the original equation? a) \(e^{x^4} = 1000\) b) \(e^{x4} = 1000\) c) \(e{x^4} = 1000\)

  6. anonymous
    • 5 years ago
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    a

  7. anonymous
    • 5 years ago
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    Ok, so start by taking the natural log of both sides.

  8. anonymous
    • 5 years ago
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    You can't take the 4th root yet because you'd have \[(e^{x^4})^{\frac{1}{4}} = e^{\frac{x^4}{4}} \]

  9. anonymous
    • 5 years ago
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    \[e ^{x ^{4}} = 1000\] so \[ln(e ^{x ^{4})} = ln(1000)\] \[{x ^{4}} = ln(1000)\] \[x= \sqrt[4]{\ln(1000)}\] or you can say \[x= (\ln(1000))^{1/4}\]

  10. anonymous
    • 5 years ago
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    It wouldn't get rid of the power of 4 on the x.

  11. anonymous
    • 5 years ago
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    Is there an answer to this or is that it?? I am so confused?

  12. anonymous
    • 5 years ago
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    Romero is correct. The answer is the \[x=\sqrt[4]{ln\ 1000}\]

  13. anonymous
    • 5 years ago
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    do I type that into my caculator to get an answer??

  14. anonymous
    • 5 years ago
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    sure, or you can leave it that way.

  15. anonymous
    • 5 years ago
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    What would the answer be if I typed it into my caculator. I am new to this scientific....is it 10.5130????

  16. anonymous
    • 5 years ago
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    I have 1.6211

  17. anonymous
    • 5 years ago
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    err 1.62119 rather.

  18. anonymous
    • 5 years ago
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    Thank you.. with that answer I was able to figure out which buttons to press on this caculator... its going to be the death of me...!!

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