Simplify each expression in Problems 1-4 without using a calculator or computer. a. (log 100+log sqrt{10}) b.

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

a. \(\log 100+\log \sqrt{10}\)

b. \(\log _{2} 2^{3}+\log _{2} \sqrt{2}\)

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