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Write the exponential equation in logarithmic form.\newlinee3.2≈24.5325 e^{3.2} \approx 24.5325

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Full solution

Q. Write the exponential equation in logarithmic form.\newlinee3.2≈24.5325 e^{3.2} \approx 24.5325
  1. Calculate Exponential Value: e3.2≈24.5325e^{3.2} \approx 24.5325 Identify bb, xx, and yy. Compare e3.2≈24.5325e^{3.2} \approx 24.5325 with by=xb^y = x. b=eb = e x=24.5325x = 24.5325 y=3.2y = 3.2
  2. Identify Variables: e3.2≈24.5325e^{3.2} \approx 24.5325 Convert the exponential equation to logarithmic equation. Substitute b=eb=e, x=24.5325x=24.5325, and y=3.2y=3.2 in ln⁡(x)=y\ln(x) = y. Logarithmic equation: ln⁡(24.5325)≈3.2\ln(24.5325) \approx 3.2

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