AIME 1990 Problem 13

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Let $T = \{9^k : k ~ \text{is an integer}, 0 \le k \le 4000\}$ . Given that $9^{4000}_{}$ has 3817 digits and that its first (leftmost) digit is 9, how many elements of $T_{}^{}$ have 9 as their leftmost digit?

Dataset text AIME 1983 to 2026. Quoted with source.

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