SOLUTION: Solve the equation: log(x^2+3)=log(x+6) I started by dividing both sides with (x+6)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the equation: log(x^2+3)=log(x+6) I started by dividing both sides with (x+6)      Log On


   



Question 768227: Solve the equation:
log(x^2+3)=log(x+6)
I started by dividing both sides with (x+6)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation:
log(x^2+3)=log(x+6)
I started by dividing both sides with (x+6)
***
arguments of logs to the same base are equal to each other.
x^2+3=x+6
x^2-x-3=0
solve for x by quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=-1, c=-3
x=[-(-1)±√(-1)^2-4*1*-3)]2*1
x=[1±√(1+12)]/2
x=[1±√13]/2
x≈2.033
or
x≈-1.303