Difference between revisions of "2023 AMC 10A Problems/Problem 15"

Revision as of 17:20, 5 November 2023 (view source) Awzhang10 (talk \| contribs) (Created page with "Let <math>f(x) = 10^{10x}, g(x) = \log_{10}\left(\frac{x}{10}\right), h_1(x) = g(f(x))</math>, and <math>h_n(x) = h_1(h_{n-1}(x))</math> for integers <math>n \geq 2</math>. Wh...")		Revision as of 17:27, 5 November 2023 (view source) Bcoolboy (talk \| contribs) (Blanked the page) (Tag: Blanking) Newer edit →
Line 1:		Line 1:
−	Let <math>f(x) = 10^{10x}, g(x) = \log_{10}\left(\frac{x}{10}\right), h_1(x) = g(f(x))</math>, and <math>h_n(x) = h_1(h_{n-1}(x))</math> for integers <math>n \geq 2</math>. What is the sum of the digits of <math>h_{2011}(1)</math>?	+
−	~~<math>\textbf{(A)}\ 16081 \qquad \textbf{(B)}\ 16089 \qquad \textbf{(C)}\ 18089 \qquad \textbf{(D)}\ 18098 \qquad \textbf{(E)}\ 18099</math>~~

Page