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Solve for x x .\newline5=ex5=e^x\newlineRound your answer to the nearest thousandth.

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Q. Solve for x x .\newline5=ex5=e^x\newlineRound your answer to the nearest thousandth.
  1. Take natural logarithm: 5=ex5 = e^x\newlineTake the natural logarithm (ln) of both sides.\newlineln⁡5=ln⁡ex\ln 5 = \ln e^x
  2. Apply power property: ln⁡5=ln⁡ex\ln 5 = \ln e^x\newlineUse the power property of logarithms.\newlineln⁡5=xln⁡e\ln 5 = x \ln e
  3. Simplify the equation: ln⁡5=xln⁡e\ln 5 = x \ln e\newlineSince ln⁡e=1\ln e = 1, simplify the equation.\newlineln⁡5=x\ln 5 = x
  4. Calculate and round: ln⁡5=x\ln 5 = x\newlineCalculate ln⁡5\ln 5 and round to the nearest thousandth.\newlinex≈1.609x \approx 1.609

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