Question 1033283: If logk = c logv + logp , what does k equal?
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! if log(x) = log(y), then x = y.
that's the concept involved here.
also, a*log(b) = log(b^a)
also, log(x) + log(y) = log(x*y)
all these concepts come into play.
start with:
log(k) = c*log(v) + log(p)
the order you do these things is important.
since c*log(v) is equal to log(v^c), your equation becomes log(k) = log(v^c) + log(p)
since log(v^c) + log(p) becomes log(v^c*p), your equation becomes log(k) = log(v^c*p)
since log(k) = log(v^c*p), then k must be equal to v^c*p
that's your solution.
k = v^c*p
for example, if you let p = 3, v = 2, c = 5, then v^c*p = 96.
k would have to be equal to 96,
you would then get log(96) = log(96).
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