Posted by **Yolie** on Thursday, February 2, 2012 at 2:56am.

Solve the equation. Check for extraneous solutions.

ln x + ln(x-2) = 1

- Alg 2 -
**Reiny**, Thursday, February 2, 2012 at 7:33am
lnx + ln(x-2) = 1 , where x>2

ln(x(x-2)) = 1

x^2 - 2x = e^1

x^2 - 2x + 1 = e+1 , ( I completed the square)

(x-1)^2 = e+1

x - 1 = ± √(e+1)

x = 1 ± √(e+1)

but x > 2 , so

x = 1 + √(e+1)

## Answer this Question

## Related Questions

- Alg 2 - Solve the equation. Check for extraneous solutions. 10 ln 100x - 3 = ...
- Alg 2 - check for extraneous solutions. 0, 7^4 2^4, inside the equation x^5/6 = ...
- alg - i need help solving this one (x + 4)^2/3= 9 a) 13 b) 23;-31 c) 5 d) 31;-31...
- alg - i need help solving this one (x + 4)^2/3= 9 a) 13 b) 23;-31 c) 5 d) 31;-31...
- algebra - Solve the equation check for extraneous solutions 9[9-8x]=2x+3 please ...
- algebra 2 - Solve the equation. Check for extraneous solutions. 9|9-8x|=2x+3 can...
- acc. alg 2 - exponentiating to solve equations: solve the eaquation, cheack for ...
- Math - 1) Solve the equation for p. Identify any extraneous solutions. √p...
- math - Solve the equation check for extraneous solutions 6/6-4x/=8x+4 I used/ / ...
- Algebra 2 - solve each equation. check for extraneous solutions. sqrt(2x+1)+sqrt...