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e)

Ask by Tyler Lowe. in Brazil
Mar 20,2025

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A solução da equação é .

Solución

  1. Primeiramente, escrevemos em função de uma potência de 5. Sabemos que , logo:
  2. Assim, a equação fica:
  3. Com as bases iguais, podemos igualar os expoentes:
  4. Resolvendo para :
Portanto, a solução da equação é .

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Beyond the Answer

To solve the equation , we begin by recognizing that can be rewritten as a power of . Specifically, , which allows us to represent as . Thus, we can rewrite the equation as . Since the bases are the same, we can set the exponents equal to each other:
Now, solving for gives:
The solution of the equation is .
In summary, the final answer is:

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