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Solve. Write your answer as an integer or a fraction in simplest form.\newline6x=16^x = 1\newlinex=x = ______

Full solution

Q. Solve. Write your answer as an integer or a fraction in simplest form.\newline6x=16^x = 1\newlinex=x = ______
  1. Recognize Rule of Exponents: Recognize that any number to the power of 00 is 11. So, 1=601 = 6^0
  2. Set Up Equation: Set the equation 6x=606^x = 6^0
  3. Apply Exponent Rule: Since the bases are the same, the exponents must be equal.\newlineTherefore, x=0x = 0

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