SOLUTION: solve {{{ log(x+9)+logx=1 }}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve {{{ log(x+9)+logx=1 }}}      Log On


   

Question 375535: solve
+log%28x%2B9%29%2Blogx=1+
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

solve

+log%28x%2B9%29%2Blogx=1+



+log%28x%28x%2B9%29%29=1+



x(x+9) = 10^1

x^2 + 9x = 10

x^2 + 9x - 10 = 0

factoring

(x+ 10)(x-1)=0

(x+10) = 0  

x = -10 This is an Extraneous solution

(x-1)= 0

x = 1