MathDB
2022 B Individual #4

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April 30, 2022
2022 B Individual

Problem Statement

There exists a real number nn such that 4n=54^n=5. What is the value of 8n8^n? <spanclass=′latex−bold′>(A)</span>55<spanclass=′latex−bold′>(B)</span>10<spanclass=′latex−bold′>(C)</span>25<spanclass=′latex−bold′>(D)</span>50<spanclass=′latex−bold′>(E)</span>255<span class='latex-bold'>(A) </span>5\sqrt{5}\qquad<span class='latex-bold'>(B) </span>10\qquad<span class='latex-bold'>(C) </span>25\qquad<span class='latex-bold'>(D) </span>50\qquad<span class='latex-bold'>(E) </span>25\sqrt{5}
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