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BelleFlower

Please wait for image. Logarithms

  • one year ago
  • one year ago

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  1. BelleFlower
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    • one year ago
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  2. hartnn
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    which one ?

    • one year ago
  3. BelleFlower
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    Q16

    • one year ago
  4. hartnn
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    for part (i), take log on both sides, log p=.... ?

    • one year ago
  5. BelleFlower
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    lg p = lg a^loga x ?

    • one year ago
  6. hartnn
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    yes, now use, \(\log m^n=m \log n\)

    • one year ago
  7. hartnn
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    sorry, n log m

    • one year ago
  8. hartnn
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    what u get ?

    • one year ago
  9. BelleFlower
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    lg p = loga x * lg a

    • one year ago
  10. hartnn
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    write log, not lg now use, \(\huge \log_ab=\frac{\log b}{\log a}\) so what is log_a x = ??

    • one year ago
  11. BelleFlower
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    log x / log a

    • one year ago
  12. hartnn
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    now substitute that in log p = loga x * log a

    • one year ago
  13. BelleFlower
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    I'm not sure what to do but is it: log p = (log x/log a) * log a ?

    • one year ago
  14. hartnn
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    really ? just cancel out log a from numerator and denominator.... what remains ??

    • one year ago
  15. hartnn
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    and yes, its that

    • one year ago
  16. hartnn
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    shall i write out all steps ??

    • one year ago
  17. BelleFlower
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    Oh wait I got it ><' Thank you so much! :)

    • one year ago
  18. hartnn
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    u want part 2 also ??

    • one year ago
  19. BelleFlower
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    Yup

    • one year ago
  20. hartnn
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    \(If, x=\log_ab \implies b=a^x\) so what about , q=log_4 3 ??

    • one year ago
  21. BelleFlower
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    3 = 4^x

    • one year ago
  22. hartnn
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    u mean 3=4^q ??

    • one year ago
  23. BelleFlower
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    sorry yup

    • one year ago
  24. hartnn
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    now u need 3^(1/q) =... ? so what will u do ??

    • one year ago
  25. BelleFlower
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    I'm not sure..?

    • one year ago
  26. hartnn
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    raise both sides to (1/q) exponent...

    • one year ago
  27. BelleFlower
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    How do you do that sorry

    • one year ago
  28. hartnn
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    \(\huge 3^{(1/q)}= (4^q)^{1/q}\)

    • one year ago
  29. hartnn
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    \(\huge (4^q)^{1/q}=.....?\)

    • one year ago
  30. BelleFlower
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    4

    • one year ago
  31. BelleFlower
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    right?

    • one year ago
  32. hartnn
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    yes.

    • one year ago
  33. hartnn
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    and you are done ..

    • one year ago
  34. BelleFlower
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    okay thanks a lot!

    • one year ago
  35. hartnn
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    welcome ^_^

    • one year ago
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