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Solve. Write your answer as an integer or a fraction in simplest form.\newline4x=14^x = 1\newlinex=x = ______

Full solution

Q. Solve. Write your answer as an integer or a fraction in simplest form.\newline4x=14^x = 1\newlinex=x = ______
  1. Rewrite as 404^0: Rewrite 11 as 404^0 because any number to the power of 00 is 11.
  2. Set equation to 4x=404^x = 4^0: Set the equation 4x=404^x = 4^0 since 11 is the same as 404^0.
  3. Apply exponent rule: Since the bases are the same, the exponents must be equal. So, x=0x = 0.

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