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Solve for x x . \newline7=ex7=e^x \newlineRound your answer to the nearest thousandth.

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Q. Solve for x x . \newline7=ex7=e^x \newlineRound your answer to the nearest thousandth.
  1. Take Logarithm of Both Sides: 7=ex7 = e^x\newlineTake the natural logarithm (ln) of both sides.\newlineln⁡7=ln⁡ex\ln 7 = \ln e^x
  2. Apply Power Property of Logarithms: ln⁡7=ln⁡ex\ln 7 = \ln e^x\newlineUse the power property of logarithms.\newlineln⁡7=xln⁡e\ln 7 = x \ln e
  3. Simplify the Equation: ln⁡7=xln⁡e\ln 7 = x \ln e\newlineSince ln⁡e=1\ln e = 1, simplify the equation.\newlineln⁡7=x\ln 7 = x
  4. Calculate and Round: ln⁡7=x\ln 7 = x\newlineCalculate ln⁡7\ln 7 and round to the nearest thousandth.\newlinex≈1.945910149x \approx 1.945910149\newlinex≈1.946x \approx 1.946

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