## Algebra 2 Common Core

$\log_8{8}=1$
Let $x=\log_8{8}.$ RECALL: $\log_{a}{y} = b \longleftrightarrow a^b = y.$ Use the definition above to convert the equation to an exponential equation and have $8^x=8.$ The bases are the same, so the exponents must be equal. Thus, $x=1.$ Therefore $\log_8{8}=1.$