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Exponentials & Logarithmshard
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Consider the function f(x)=log⁡a(x2+bx+c)f(x) = \log_a(x^2 + bx + c)f(x)=loga​(x2+bx+c). If the vertical asymptote is x=3x = 3x=3 and the function passes through the point (4,0)(4, 0)(4,0), what is the value of a+b+ca + b + ca+b+c assuming a>1a > 1a>1?