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aceace

Logarithm Question!!!

  • one year ago
  • one year ago

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  1. aceace
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    Evaluate in terms of p \[\log_{c} b\] if ... \[\log_{b}a =p \] and c=a^2

    • one year ago
  2. hartnn
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    put a = \(\sqrt c\) in that and tell me what u get ?

    • one year ago
  3. aceace
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    log _b (root c) = p

    • one year ago
  4. hartnn
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    right , now use the property that \(\log x^y=y \log x\) so what will be \(\log_b c^{1/2} = ? \)

    • one year ago
  5. aceace
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    1/2 (log_b (c))

    • one year ago
  6. hartnn
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    right, that is p, so what is (log_b (c)) = ?

    • one year ago
  7. dumbcow
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    what a fun problem...i won't spoil the solution and let hartnn explain the steps

    • one year ago
  8. aceace
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    um....2p

    • one year ago
  9. hartnn
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    thats correct. then use the property that \(\huge \log_xy=\frac{\log y}{\log x} = \frac{1}{\log_yx}\)

    • one year ago
  10. hartnn
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    (log_b (c)) = 2p so whats (log_c (b)) = ?

    • one year ago
  11. aceace
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    lol i am not fimiliar with that property.. but it equals 1/(2p)

    • one year ago
  12. hartnn
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    yes, 1/(2p) is correct. its one of the very useful properties of log. u want a list of all the log properties ?

    • one year ago
  13. aceace
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    yes please XD

    • one year ago
  14. hartnn
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    http://openstudy.com/users/TheViper#/updates/503a002fe4b0edee4f0d88db

    • one year ago
  15. aceace
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    thank you!

    • one year ago
  16. hartnn
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    welcome ^_^

    • one year ago
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