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AMC functions, exponents & logs problems

Function composition, functional equations, floor and ceiling, exponents and logarithms.

180 problems in the archive use these ideas — 55 from the AMC 10 and 125 from the AMC 12.

Picks a problem you have not seen, at about the difficulty you are handling.

60 most recent problems

Newest contests first. Every problem opens with its answer choices, hints and a worked solution.

Use Start functions, exponents & logs practice above to keep going through the remaining 120, or browse them by contest in the AMC 12 and AMC 10 archives.

Back to all algebra problems.