SOLUTION: Solve the equations using any method. Simplify as much as possible. There may be more than one solution, or there may be none. log(base 2)(X)=log(base 2)(5)-log(base 2)(x+2)

Question 368048: Solve the equations using any method. Simplify as much as possible. There may be more than one solution, or there may be none.
log(base 2)(X)=log(base 2)(5)-log(base 2)(x+2)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log(base 2)(X)=log(base 2)(5)-log(base 2)(x+2)
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log2[x] = log2[5/(x+2)]
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x = 5/(x+2)
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x^2+2x-5 = 0
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x = [-2 +- sqrt(4-4*1*-5)]/2
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x = [-2 +- sqrt(24)]/2
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x = [2 +-2sqrt(6)]/2
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Positive solution:
x = 1+sqrt(6)
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Cheers,
Stan H.
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