Question

Logarithm Question!!!

Answer 1

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

Answer 2

put a = \(\sqrt c\) in that
and tell me what u get ?

Answer 3

log _b (root c) = p

Answer 4

right , now use the property that \(\log x^y=y \log x\)
so what will be
\(\log_b c^{1/2} = ? \)

Answer 5

1/2 (log_b (c))

Answer 6

right, that is p, so what is (log_b (c)) = ?

Answer 7

what a fun problem...i won't spoil the solution and let hartnn explain the steps

Answer 8

um....2p

Answer 9

thats correct.
then use the property that
\(\huge \log_xy=\frac{\log y}{\log x} = \frac{1}{\log_yx}\)

Answer 10

(log_b (c)) = 2p
so whats (log_c (b)) = ?

Answer 11

lol i am not fimiliar with that property.. but it equals 1/(2p)

Answer 12

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

Answer 13

yes please XD

Answer 14

http://openstudy.com/users/TheViper#/updates/503a002fe4b0edee4f0d88db

Answer 15

thank you!

Answer 16

welcome ^_^