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The equation of the tangent to the curve
\[
y=\int_{x}^{x^{2}} \log t d t \quad \text { at } x=2 \text { is }
\]
(a) \( y-6 \log 2=7 \log 2(x-2) \)
(b) \( y-\log 2 e^{1 / 3}=(\log 2) x \)
(c) \( y-8 \log 2 e^{-1 / 3}=5 \log 2 x \)
(d) \( y+8 \log 2+2=(7 \log 2) x \).
\( \mathrm{P} \)
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