Question

find the inverse of $y = 5^x - 9$. $y = \square$

Explanation:

Step1: Swap x and y variables

$x = 5^y - 9$

Step2: Isolate the exponential term

$x + 9 = 5^y$

Step3: Convert to logarithmic form

$y = \log_{5}(x + 9)$

Answer:

$y = \log_{5}(x + 9)$