You can
put this solution on YOUR website!
you will get the following by using the properties of logarithms.
2 * (log(A) + log(W) is equal to:
log( (AW)^2 ) which is equal to:
log(A^2*W^2)
log(32) + 2*log(pi) + 2*log(r) + log(c) is equal to:
log(32) + log(pi^2) + log(r^2) + log(c) which is equal to:
log (32*pi^2*r^2*c)
your equation becomes:
log(W) = log(A^2*W^2) - log(32*pi^2*r^2*c)
this becomes:
log(W) = log ( A^2*W^2 )
------------------
32*pi^2*r^2*c
this means that:
W = A^2*W^2
------------------
32*pi^2*r^2*c
this is because if log(a) = log(b), then a must be equal to b.
the properties of log that were used are:
log(a^b) = b*log(a)
log(a*b) = log(a) + log(b)
log(a/b) = log(a) - log(b)
if log(a) = log(b), then a must be equal to b.
