Checkpoint: Logarithmic Functions Solution

Write the inverse of the given function.

$f (x) = 5^{x + 1}$

$\begin{matrix} y = 5^{x + 1} \\ x = 5^{y + 1} \\ \log_{5} x = \log_{5} {(5)}^{y + 1} \\ \log_{5} x = y + 1 \\ \log_{5} x - 1 = y \\ y = \log_{5} (x) - 1 \end{matrix}$

Note

Q: What is $\log_{b} (b)$ ? Explain.

A: When the base and argument are equal, the answer is one.

Use technology to see a function and its inverse and to compare the table of values.