SOLUTION: If logk = c logv + logp , what does k equal?

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).

RELATED QUESTIONS
If {{{ (x+k)^2= x^2 +22x+k^2 }}} for all real numbers x, then what does k... (answered by ankor@dixie-net.com)

2K+5d=3d-4 What does K equal? -4(3a+c)=b What does a equal? 3m-5(m+t)=7(t+q)... (answered by jim_thompson5910)

If {{{k=((x+1)(x-1))/3}}} and k=0, what does {{{3x^2}}} equal in terms of k? A) 3k B)... (answered by jim_thompson5910)

If 6^2x+1 = k, the what does 6^4x+3... (answered by ikleyn)

If 6^(2x+1) = k, then what does 6^(x+3)... (answered by ikleyn)

what does y equal in 2/3y+k=j (answered by solver91311)

y= k/x k does not equal 0 what would the graph of this look... (answered by jim_thompson5910)

If A+B=C and C+D=EA What does B+D equal? (answered by richwmiller)