What is the value of the rate constant of a first-order reaction if the slope of the graph between $\log_{10} \frac{[A]_0}{[A]_t}$ ($y$-axis) and time ($x$-axis) is $1 \times 10^{-3}$?
- A$4.34 \times 10^{-3}$
- B$6.93 \times 10^{-3}$
- C$2.303 \times 10^{-3}$
- D$5.12 \times 10^{-3}$
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