## Algebra 2 Common Core

Let $x=\log_5{-25}.$ RECALL: $\log_{a}{y} = b \longleftrightarrow a^b = y.$ Use the definition above to convert the equation to an exponential equation and have $5^x=-25.$ Note $5$ is raised to any power, the result will never be negative. Thus, the given equation has no solution. This means that the given logarithmic expression is undefined.