MathDB
Valid Triangles

Source: 2019 AMC 12B #9

February 14, 2019

Problem Statement

For how many integral values of xx can a triangle of positive area be formed having side lengths log⁡2x,log⁡4x,3 \log_{2} x, \log_{4} x, 3?
<spanclass=′latex−bold′>(A)</span>57<spanclass=′latex−bold′>(B)</span>59<spanclass=′latex−bold′>(C)</span>61<spanclass=′latex−bold′>(D)</span>62<spanclass=′latex−bold′>(E)</span>63<span class='latex-bold'>(A) </span> 57\qquad <span class='latex-bold'>(B) </span> 59\qquad <span class='latex-bold'>(C) </span> 61\qquad <span class='latex-bold'>(D) </span> 62\qquad <span class='latex-bold'>(E) </span> 63
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