You can put this solution on YOUR website! From
2 ln (r) = ln (15r + 34)
ln (r^2) = ln (15r + 34)
Now exponentiate and get
r^2 = 15r + 34
r^2 - 15r - 34 = 0
(r - 17)(r + 2) = 0
r = 17 or r = -2
but you cannot have the log of a negative number, so
r = 17