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Write the exponential equation in logarithmic form.\newlinee4≈54.598e^4 \approx 54.598\newlineln⁡____≈4\ln\_\_\_\_ \approx 4

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Full solution

Q. Write the exponential equation in logarithmic form.\newlinee4≈54.598e^4 \approx 54.598\newlineln⁡____≈4\ln\_\_\_\_ \approx 4
  1. Identify base, exponent, and result: Identify the base (bb), the exponent (yy), and the result (xx) in the exponential equation e4≈54.598e^4 \approx 54.598.\newlineIn this case, the base bb is ee (the base of natural logarithms), the exponent yy is 44, and the result xx is approximately 54.59854.598.
  2. Convert to logarithmic form: Convert the exponential equation to logarithmic form.\newlineThe exponential equation ey=xe^y = x can be rewritten in logarithmic form as ln⁡(x)=y\ln(x) = y, where ln⁡\ln denotes the natural logarithm (logarithm with base ee).\newlineTherefore, the logarithmic form of e4≈54.598e^4 \approx 54.598 is ln⁡(54.598)≈4\ln(54.598) \approx 4.

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