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S

  • 3 years ago

Simplify : e^(2lnx)+3e^ln(2x)

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  1. Outkast3r09
    • 3 years ago
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    \[aln(b)=\ln(b^a)\]

  2. Outkast3r09
    • 3 years ago
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    \[e^{\ln(x)}=x\]

  3. Outkast3r09
    • 3 years ago
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    with these two properties, do you know your first step?

  4. S
    • 3 years ago
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    i just remember that e^2lnx gives e^lnx^2 which is x^2 but I am confused what do i do with 3e^ln(2x)

  5. S
    • 3 years ago
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    would it be 3(2x) ?

  6. Outkast3r09
    • 3 years ago
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    if you're not sure you could always pull the 3 out in front

  7. Outkast3r09
    • 3 years ago
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    but what you did is correct

  8. S
    • 3 years ago
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    so the answer will be x^2* 3(2x)?

  9. Outkast3r09
    • 3 years ago
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    it'd be plus

  10. Outkast3r09
    • 3 years ago
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    not *

  11. S
    • 3 years ago
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    oh, yes

  12. S
    • 3 years ago
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    Thank you !

  13. Outkast3r09
    • 3 years ago
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    if you need to simplify more just pull out an x

  14. Outkast3r09
    • 3 years ago
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    factor out an x i mean to get x(x+6)

  15. S
    • 3 years ago
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    thank =)

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