2020 AMC 12A Problems/Problem 10: Difference between revisions

Revision as of 10:28, 1 February 2020

Any logarithm in the form $\log_{a^b} c = \frac{1}{b} \log_a c$ .

so $\log_2{(\log_{2^4}{n})} = \log_{2^2}{(\log_{2^2}{n})}.$

becomes

$\log_2{\frac{1}{4}\log_{2}{n}} = \frac{1}{2}\log_2({\frac{1}{2}\log_2{n}}).$

Revision as of 10:27, 1 February 2020 view source Quacker88 (talk \| contribs) editor 151 edits →Solution ← Older edit		Revision as of 10:28, 1 February 2020 view source Quacker88 (talk \| contribs) editor 151 edits →Solution Newer edit →
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	<cmath>\log_2{\frac{1}{4}(\log_{2}{n})} = \frac{1}{2}\log_2{\frac{1}{2}(\log_2{n})}.</cmath>		<cmath>\log_2{\frac{1}{4}\log_{2}{n}} = \frac{1}{2}\log_2({\frac{1}{2}\log_2{n}}).</cmath>