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Q=rx^2c Solve for C So basically I need C=....?

2007-01-15 13:28:14 · 11 answers · asked by linz 2 in Science & Mathematics Mathematics

11 answers

Is the C part of the exponent? If so, you'll need to use logarithms...
If not, the other solution that several people gave you, is correct.
Also, you're using C and c to indicate apparently the same thing. This also adds to the confusion.
At any rate, if you mean Q = rx^(2c)
then (Q/r) = x^(2c)
and log base x (Q/r) = 2c so
(1/2) log base x (Q/r) = c
If you'd rather not use log base x you can use any other base such as ln or log base 10. Using ln,
ln (Q/r) = 2c ln x
so ln (Q/r)/(2 ln x) = c
which you'll recognise the change of base formula lurking in there.

2007-01-15 13:36:40 · answer #1 · answered by Joni DaNerd 6 · 0 0

I used the definition of a logarithm.

LOGaB = X (log with base a to B = x) is equivalent to

a^x = b (a raised to the x power = b)

Using this to solve for C:
Q = rx^2c
Q/r = x^2c (devide both sides by r)
then using the def of logarithms:
LOGx(Q/r) = 2c and deviding both sides by 2
c = (1/2)LOGx(Q/r)
This definition always tricks me. But in this, matching the symbols of the definition I gave, x is the equivalent of a, (Q/r) is the equivalent of B and 2c is the equivalent of x.

2007-01-15 13:40:43 · answer #2 · answered by elkabong2500 2 · 0 0

Q=rx^2C
dividing by rx^2
C=Q/rx^2

2007-01-15 13:31:56 · answer #3 · answered by raj 7 · 0 0

How about c=Q/rx^2?

2007-01-15 13:33:16 · answer #4 · answered by cottagstan 5 · 0 0

Q = r(x^2)c

Divide both sides by rx^2

Q / (rx^2) = C

2007-01-15 13:32:21 · answer #5 · answered by Puggy 7 · 0 0

If you mean Q= rx^(2c), then c= ln(Q/r)/2lnx. However, if Q= r(x^2)c, then c= Q/r(x^2). I'm sure of these.

2007-01-15 13:40:55 · answer #6 · answered by jayem 1 · 0 0

c= Q/(rx^2)

2007-01-15 13:32:15 · answer #7 · answered by      7 · 0 0

assuming that what you wrote is really Q=rx^(2c).....

I'll give you a hint, but I'm not solving it for you... use logarithms.

2007-01-15 13:32:34 · answer #8 · answered by Jess4352 5 · 0 0

c = Q/(rx^2)

2007-01-15 13:35:30 · answer #9 · answered by MathBioMajor 7 · 0 0

eighty 5 = 10* (log B- log 10^-sixteen) eighty 5 = 10*(log B + sixteen) eighty 5 = 10log B +one hundred sixty -75 = 10 log B log B = -7.5 B = 10^-7.5 i.e B = 10^-(15/2) B = 3.sixteen^ -15 (approx.) thats the respond i'm getting- seems such as you have been incorrect.

2016-10-20 06:40:24 · answer #10 · answered by ? 4 · 0 0

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