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Solve for xx.\newline5x=15^x=1\newline\newlineWrite your answer in simplest form.

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Q. Solve for xx.\newline5x=15^x=1\newline\newlineWrite your answer in simplest form.
  1. Identify Property of Exponents: Identify the property of exponents that any number raised to the power of 00 is equal to 11.\newlineWe know that 50=15^0 = 1.
  2. Set Given Equation: Set the given equation 5x=15^x = 1 equal to 505^0 since both are equal to 11.\newline5x=505^x = 5^0
  3. Equalize Bases: Since the bases are the same 55, the exponents must be equal for the equations to hold true.\newlineTherefore, xx must be equal to 00.\newlinex=0x = 0

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