SOLUTION: Show that log(base p)q = (log(base q) p)^-1
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Question 612539: Show that log(base p)q = (log(base q) p)^-1
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Base change formula:
\ =\ \frac{\log_c(a)}{\log_c(b)})
Substituting 
and 
\ =\ \frac{\log_q(q)}{\log_q(p)})
but
\ =\ 1)
So
\ =\ \frac{1}{\log_q(p)}\ =\ \left(\log_q(p)\right)^{-1})
John
My calculator said it, I believe it, that settles it
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