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)

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Find the inverse function of m(x)

given:m(x)=42xm1(x)=?\begin{align*}\text{given:}&\\m(x) &= 4^{2 x}\\m^{-1}(x) &= ?\end{align*}

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