# Chapter 6 - Logarithmic Functions - 6.2 Logarithmic Functions - 6.2 Exercises: 83

$f^{-1}(x) = \log_7 x$

#### Work Step by Step

$f(x) = 7^{x}$ Let $f(x) = y$ $y = 7^{x}$ Swap the $x$ and $y$ variable then solve for $y$ to find the inverse: $x = 7^{y}$ $y = \log_7 x$ $f^{-1}(x) = \log_7 x.$

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