## Precalculus: Mathematics for Calculus, 7th Edition

$Evaluate$ $the$ $expression:$ a.) $\log_2 2$ b.) $\log_5 1$ c.) $\log_6 6^5$ a.) $\log_2 2$ Use the Second Property of Logarithms: $\log_a a = 1$ $\log_2 2 = 1$ b.) $\log_5 1$ Rewrite 1 as $5^0$ [Note: any number or variable raised to the zeroth power equals 1] $\log_5 5^0$ Use the Third Property of Logarithms: $\log_a a^x = x$ $\log_5 5^0 = 0$ c.) $\log_6 6^5$ Use the Third Property of Logarithms: $\log_a a^x$ $\log_6 6^5 = 5$