{"id":"cb_practice_pdf:t6-math-m2-q20","source_id":"cb_practice_pdf","source_item_id":"t6-math-m2-q20","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-6","module_number":2,"position":20,"stem":"- 4^c 8 = 3 4 7 If, what is the value of c?","stimulus":"","stimulus_html":null,"stem_html":"<p>- 4^c 8 = 3 4 7 If, what is the value of c?</p>","rationale_html":"<p>7 The correct answer is 24. An expression of the form n a m , where m and n are $ m integers greater than 1 and a 0, is equivalent to an. Therefore, the expression on the right-hand side of the given equation, 3 47 , is equivalent to 43 7 . Thus, 48 c=43 7 . 8 = 7 = 7 It follows that c 3. Dividing both sides of this equation by 8 yields c 24. Note that 7/24, .2916, .2917, 0.219, and 0.292 are examples of ways to enter a correct answer.</p>","correct_answer":["24"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}