SOLUTION: solve for x: log(x-2) + log(x+2) = 1 Thanks

Algebra.Com
Question 321756: solve for x: log(x-2) + log(x+2) = 1
Thanks

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve for x: log(x-2) + log(x+2) = 1
--------
log[(x-2)(x+2)] = 1
---
x^2-4 = 10^1
---
x^2-14 = 0
---
(x-sqrt(14)(x+sqrt(14) = 0
Possible solutions:
x = sqrt(14) or x = -sqrt(14)
---
Check in the original equation:
x = sqrt(14)
===================
Cheers,
stan H.

RELATED QUESTIONS

solve for x: log(x + 2) +... (answered by stanbon)
log(x + 3) = 1 - log(x - 2) Solve for x (answered by ewatrrr,MathLover1)
Solve for x: log(x - 3) = (log x - log... (answered by nerdybill)
Solve for x: log(x-2)+ log x = log... (answered by edjones)
Solve for x: log(7x-2)-log(x-2)=1... (answered by Alan3354)
Solve for x:... (answered by venugopalramana,sdmmadam@yahoo.com)
Solve for x: log(x - 4) + log 2 =... (answered by stanbon)
Solve for x: log(3x+8) - log(x-2)... (answered by solver91311)
1+log(8x)=16-2 log x Solve for... (answered by erica65404)