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aceace Group TitleBest ResponseYou've already chosen the best response.1
Evaluate in terms of p \[\log_{c} b\] if ... \[\log_{b}a =p \] and c=a^2
 one year ago

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

aceace Group TitleBest ResponseYou've already chosen the best response.1
log _b (root c) = p
 one year ago

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

aceace Group TitleBest ResponseYou've already chosen the best response.1
1/2 (log_b (c))
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
right, that is p, so what is (log_b (c)) = ?
 one year ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.0
what a fun problem...i won't spoil the solution and let hartnn explain the steps
 one year ago

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

hartnn Group TitleBest ResponseYou've already chosen the best response.2
(log_b (c)) = 2p so whats (log_c (b)) = ?
 one year ago

aceace Group TitleBest ResponseYou've already chosen the best response.1
lol i am not fimiliar with that property.. but it equals 1/(2p)
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
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

aceace Group TitleBest ResponseYou've already chosen the best response.1
yes please XD
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
http://openstudy.com/users/TheViper#/updates/503a002fe4b0edee4f0d88db
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
welcome ^_^
 one year ago
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