\( \frac{1}{2} e^{2\left(\ln x-\ln \left(\frac{1}{1-e^{-4}}\right)\right.} \)
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The expression is: \[ 2(\ln x - \ln \left(\frac{1}{1-e^{-4}}\right)) \] Using the logarithmic identity \(\ln \left(\frac{a}{b}\right) = \ln a - \ln b\), we can rewrite: \[ \ln x - \ln \left(\frac{1}{1-e^{-4}}\right) = \ln \left(x \cdot (1-e^{-4})\right) \] Show more…
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