MathDB
2023 Individual #10

Source:

April 26, 2023
2023 Individual

Problem Statement

In the equation below, xx is a nonzero real number such that 1729(3t)=3x.\frac1{729}\left(3^t\right)=3^x. Which of the following is equal to tt?
<spanclass=′latex−bold′>(A)</span>16x<spanclass=′latex−bold′>(B)</span>13x<spanclass=′latex−bold′>(C)</span>6x<spanclass=′latex−bold′>(D)</span>x−6<spanclass=′latex−bold′>(E)</span>x+6<span class='latex-bold'>(A) </span> \dfrac16x\qquad<span class='latex-bold'>(B) </span> \dfrac13x\qquad<span class='latex-bold'>(C) </span> 6x\qquad<span class='latex-bold'>(D) </span> x-6\qquad<span class='latex-bold'>(E) </span> x+6
Back to ProblemsView on AoPS