A Nice Exponential Equation | How to Solve for x in 2 .9^x - 15^x = 25^x
Автор: Faysal Solve Math
Загружено: 2026-02-09
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A Nice Exponential Equation | How to Solve for x in 2 .9^x - 15^x = 25^x
Can you pass the Harvard Admission Test? In this video, we break down a classic and elegant exponential equation: 2 .9^x - 15^x = 25^x. This type of problem is frequently seen in high-level math competitions like the Math Olympiad and entrance exams for top-tier universities in the USA and UK.
We walk you through the most efficient algebraic strategy to solve for x, which involves recognizing the relationship between the bases 9, 15, and 25. By dividing the entire equation by 25^x , we transform the expression into a manageable quadratic equation using substitution.
#MathOlympiad #HarvardMath #ExponentialEquations #Algebra #MathTricks
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