## College Algebra (10th Edition)

$\ln{x} +x$
RECALL: (1) $\ln{(MN)} = \ln{M} + \ln{N}$ (2) $\ln{\left(\dfrac{M}{N}\right)} = \ln{M} - \ln{N}$ (3) $\ln{e} = 1$ (4) $\ln{(e^x)}=x$ Using rule (1) above, the given expression is equivalent to: $=\ln{x} + \ln{(e^x)}$ Using rule (4) above, the given expression simplifies to: $=\ln{x} +x$