This topic focuses on determining whether pairs of exponential and logarithmic functions are inverses of each other. It forms part of an introductory tutorial on logarithm functions. The problems typically involve being presented with two mathematical expressions: one exponential and the other logarithmic. The task is to decide whether the second function is the inverse of the first, with 'Yes' or 'No' as the possible answers.

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Function Inverse - Two Functions to Is Inverse (Exponential/Logarithmic)

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Is y(x) the inverse of d(x)

given:d(x)=5e3xy(x)=lnx53\begin{align*}\text{given:}&\\d(x) &= 5e^{3 x}\\y(x) &= \frac{\ln{ \frac{x}{5} }}{3}\end{align*}

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