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Exponential Equation

Algebra Level 3

\[\large 3^{\frac{x}{5}} + 3^{\frac{x-10}{10}} = 84 \]

Let the number of solutions to this equation be \(A\) and the sum of solutions be \(B\).

Find \(A+B\).

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Excel in math and science

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It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

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including olympiad champions, researchers, and professionals.

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by Vishwak Srinivasan

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