SOLUTION: what is the answer to logx + log (x+15) = 2?

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: what is the answer to logx + log (x+15) = 2?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 195190: what is the answer to logx + log (x+15) = 2?
Answer by user_dude2008(1825) About Me  (Show Source):
You can put this solution on YOUR website!
log is base 10

log(x) + log (x+15) = 2


log(x(x+15)) = 2

10^2=x^2+15x

x^2+15x-100=0

(x+20)(x-5)=0

x=-20 (extraneous) or x=5


Ans: only solution is x=5