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Solve. Write your answer as an integer or a fraction in simplest form.\newline81=3x81 = 3^x\newlinex=x = ______

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Q. Solve. Write your answer as an integer or a fraction in simplest form.\newline81=3x81 = 3^x\newlinex=x = ______
  1. Rewrite as power of 33: Rewrite 8181 as a power of 33.\newline8181 is the same as 343^4 because 3×3×3×3=813 \times 3 \times 3 \times 3 = 81.
  2. Set exponents equal: Set the exponents equal to each other since the bases are the same.\newlineSo, 3x=343^x = 3^4.
  3. Solve for x: Solve for x.\newlineTherefore, x=4x = 4.

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