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anonymous
 3 years ago
Logarithm Question!!!
anonymous
 3 years ago
Logarithm Question!!!

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Evaluate in terms of p \[\log_{c} b\] if ... \[\log_{b}a =p \] and c=a^2

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2put a = \(\sqrt c\) in that and tell me what u get ?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2right , now use the property that \(\log x^y=y \log x\) so what will be \(\log_b c^{1/2} = ? \)

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2right, that is p, so what is (log_b (c)) = ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what a fun problem...i won't spoil the solution and let hartnn explain the steps

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2thats correct. then use the property that \(\huge \log_xy=\frac{\log y}{\log x} = \frac{1}{\log_yx}\)

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2(log_b (c)) = 2p so whats (log_c (b)) = ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0lol i am not fimiliar with that property.. but it equals 1/(2p)

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2yes, 1/(2p) is correct. its one of the very useful properties of log. u want a list of all the log properties ?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2http://openstudy.com/users/TheViper#/updates/503a002fe4b0edee4f0d88db
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