Simplify each expression in Problems 1-4 without using a calculator or computer. a. (ln e+ln 1+ln e^{542}

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Simplify each expression in Problems 1-4 without using a calculator or computer.

a. \(\ln e+\ln 1+\ln e^{542} \quad 543\)

b. \(\log _{8} 4+\log _{8} 16+\log _{8} 8^{2.3}

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