This math topic focuses on finding the inverse functions of exponential and logarithmic functions. The problems require converting given exponential or logarithmic functions into their inverse forms. Each example features a function, such as a logarithmic function with a base or a natural logarithm (`ln`), and the task is to determine the correct inverse function from multiple choices. This is a fundamental exercise in understanding how functions and their inverses work, particularly within the realms of exponential and logarithmic operations.

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Function Inverse - Function to Inverse (Exponential/Logarithmic)


Find the inverse function of n(x)

given:n(x)=52xn1(x)=?\begin{align*}\text{given:}&\\n(x) &= 5^{-2 x}\\n^{-1}(x) &= ?\end{align*}

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