SOLUTION: how do you solve log3[4]+log3[(4x^+9)]=log3 60

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: how do you solve log3[4]+log3[(4x^+9)]=log3 60      Log On


   



Question 750607: how do you solve log3[4]+log3[(4x^+9)]=log3 60
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
how do you solve log3[4]+log3[(4x^2+9)]=log3 60
log%283%2C%284%29%29%2Blog%283%2C%284x%5E2%2B9%29%29=log%283%2C%2860%29%29
log%283%2C%284%29%284x%5E2%2B9%29%29=log%283%2C%2860%29%29
4(4x^2+9)=60
4x^2+9=15
4x^2=6
x^2=6/4=3/2
x=±√(3/2)