SOLUTION: I'm having trouble coming up with the asnwer to: log base 2 2x + log base 2 (x+3) = 3. I'd really appreciate a step by step walkthrough thanks!

Question 539566: I'm having trouble coming up with the asnwer to: log base 2 2x + log base 2 (x+3) = 3. I'd really appreciate a step by step walkthrough thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log2(2x) + log2(x+3) = 3
------
log2[2x(x+3)] = 3
----
2x(x+3) = 2^3
---
2x^2+6x-8 = 0
x^2+3x-4 = 0
Factor:
(x+4)(x-1) = 0
Positive solution:
x = 1
============================
Cheers,
Stan H.

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