SOLUTION: Solve: log base x (x+42)=2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve: log base x (x+42)=2       Log On


   



Question 332012: Solve: log base x (x+42)=2

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
log+%28x%2C%28x%2B42%29=2
x%2B42+=+x%5E2
0+=+x%5E2-x-42
Factoring:
0+=+%28x-7%29%28x%2B6%29
x = {-6,7}
Toss out the -6 because it is an extraneous solution leaving:
x = 7