![\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \ln\left( e^{-6x} \right)\implies \log_e\left( e^{-6x} \right)\implies -6x \\\\\\ e^{4\ln(x)}\implies e^{\ln(x)4}\implies e^{\log_e(x)4}\implies \left[ e^{\log_e(x)} \right]^4\implies [x]^4\implies x^4 \\\\\\ e^{\ln(4x)+2}\implies e^{\ln(x)}\cdot e^2\implies e^{\log_e(x)}\cdot e^2\implies xe^2](/tpl/images/2622/4076/4ea10.png)
Simplify each expression using the properties of natural logs.
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Mathematics, 16.01.2022 03:40 Dontslack
Simplify each expression using the properties of natural logs.
Answers: 2
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