Answer
a.) 1
b.) 0
c.) 5
Work Step by Step
$Evaluate$ $the$ $expression:$
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: $\log_a a^x$
$\log_6 6^5 = 5$