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April 18, 2014

Posted by **Sabrina** on Wednesday, January 5, 2011 at 9:12pm.

2 log (x-1)= log (x+1)

the answer is 3 but i dont know how to get it...Any one hint or suggestion will be greatly appreciated :)

- short and sweet -
**MathMate**, Wednesday, January 5, 2011 at 9:59pm2 log (x-1)= log (x+1)

log[(x-1)²] = log(x+1)

Take antilog:

(x-1)²=x+1

Expand and solve quadratic:

x²-3x=0

x(x-3)=0

x=0 is not admissible as solution because log(0-1) is undefined.

The remaining answer is therefore x=3.

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