SOLUTION: log2(-x)+log2(x+12)=5 check for extraneous solutions. I got -8 and -4 I don't know if it's right and how many solutions.

Algebra.Com
Question 388779: log2(-x)+log2(x+12)=5 check for extraneous solutions. I got -8 and -4 I don't know if it's right and how many solutions.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
log2(-x)+log2(x+12)=5 check for extraneous solutions. I got -8 and -4 I don't know if it's right and how many solutions.
-----------------------
log2(-x)+log2(x+12)=5
---
log2[-x(x+12)] = 5
----
-x(x+12) = 2^5
---
-x^2-12x-32 = 0
---
x^2+12x+32 = 0
---
Factor:
(x+4)(x+8) = 0
---
x = -4 or x = -8
---
No extraneous zeros.
Cheers,
Stan H.

RELATED QUESTIONS

Solve for x, check for any extraneous solutions. sqrt(2x+1) -8= -5 I got x=-5 and... (answered by Edwin McCravy)
Solve and check for extraneous solutions.... (answered by ikleyn)
sole & check for extraneous solutions. X^1/2-(x-5)^1/2=2 some how the answer is 81/16 (answered by lwsshak3)
directions: solve the proportion and check for extraneous solutions.. 5/m+1 = 4m/m (answered by stanbon)
log(6)x+log(6)(x+16)=2 I dont know how to solve this, and im supposed to check for... (answered by scott8148)
Solve the equation. Check for extraneous solutions. |4x|=28 I dont understand how to do (answered by algebrahouse.com)
=/ Alright so i just got off of long term suspention cause someone decided to fight me... (answered by stanbon)
Solve with exact solutions log2(x)-log2(3x-1)=0 I only got this far... (answered by oscargut)
Solve each equation. Check each solution. 1. -x/4=2x/3 I got x=-5 and it is... (answered by RAY100)