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aceace

  • 3 years ago

Logarithm Question!!!

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

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

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

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

  5. aceace
    • 3 years ago
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    1/2 (log_b (c))

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

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

  8. aceace
    • 3 years ago
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    um....2p

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

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

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

  12. hartnn
    • 3 years ago
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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 ?

  13. aceace
    • 3 years ago
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    yes please XD

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

  15. aceace
    • 3 years ago
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    thank you!

  16. hartnn
    • 3 years ago
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    welcome ^_^

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