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Solve for ww.\newline9w=819^w = 81\newlineww = ____

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Full solution

Q. Solve for ww.\newline9w=819^w = 81\newlineww = ____
  1. Recognize relationship: Step 11: Recognize the relationship between the base and the result.\newline9w=819^w = 81.\newlineWe know that 8181 is a power of 99.
  2. Express as power: Step 22: Express 8181 as a power of 99.\newline81=9281 = 9^2.\newlineSo, 9w=929^w = 9^2.
  3. Set exponents equal: Step 33: Since the bases are the same, set the exponents equal to each other. w=2w = 2.

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