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Solve for x x .\newline2=ex2=e^x\newlineRound your answer to the nearest thousandth.

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Q. Solve for x x .\newline2=ex2=e^x\newlineRound your answer to the nearest thousandth.
  1. Take ln of both sides: Take the natural logarithm (ln) of both sides.\newlineln⁡(2)=ln⁡(ex) \ln(2) = \ln(e^x)
  2. Use power property of logarithms: Use the power property of logarithms to simplify.\newlineln⁡(2)=x⋅ln⁡(e) \ln(2) = x \cdot \ln(e)
  3. Simplify the equation: Since ln⁡(e)=1\ln(e) = 1, simplify the equation.\newlineln⁡(2)=x \ln(2) = x
  4. Calculate ln(22): Calculate ln⁡(2)\ln(2) and round to the nearest thousandth.\newlinex≈0.693 x \approx 0.693

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