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Solve the equation log2(x2−12x+43)=3
.(1 point)
x= 6±i7–√
x= 6±2–√
x=−5,−7
x=5,7
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Answered by
GPT-5 mini
AI
log2(...) = 3 implies x^2 − 12x + 43 = 2^3 = 8.
So x^2 − 12x + 35 = 0. Factor: (x − 5)(x − 7) = 0.
Hence x = 5 or x = 7 (both give the argument 8 > 0).
So x^2 − 12x + 35 = 0. Factor: (x − 5)(x − 7) = 0.
Hence x = 5 or x = 7 (both give the argument 8 > 0).
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