Question

Urgente! resolva:
Log2 (x-1)+1=log2(x+2)+log2(7-x)-log2(3)

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Answer 1

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1 = log2(2) 

log2(x + 1) + log2(2) = log2(x + 2) + log2(7 - x) - log2(3)

log2(2x + 2) = log2((x + 2)*(7 - x)/3)

2x + 2 = (-x² + 5x + 14)/3

x² - 5x - 14 + 6x + 6 = 0

x² + x - 8 = 0 

delta
d² = 1 + 32 = 33
d = √33

x = (-1 + √33)/2 

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