SOLUTION: I have a couple questions that are hard for me to answer. 1. what is the answer to this? log(2)(x^2+2x-44)=2?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I have a couple questions that are hard for me to answer. 1. what is the answer to this? log(2)(x^2+2x-44)=2?       Log On


   

Question 114644: I have a couple questions that are hard for me to answer.
1. what is the answer to this? log(2)(x^2+2x-44)=2?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(2)(x^2+2x-44)=2?
That says x^2+2x-44 = 2^2
x^2+2x-48 = 0
(x+8)(x-6) = 0
x = -8 ; x = 6
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Checking:
x = -8
log(2)(64-16-44) = 2
log(2)(4) = 2
4 = 2^2
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Checking:
x = 6
log(2)(36+2*6-44) = 2
log(2)(4) = 2
4 = 2^2
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Cheers,
Stan H.