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Which exponential equation is equivalent to the logarithmic equation below? 3 = ln x

Which exponential equation is equivalent to the logarithmic equation below? 3 = ln-example-1

1 Answer

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Using the following property


e^(\ln a)=a

we can rewrite our expression by exponentiating both sides:


\begin{gathered} 3=\ln x \\ e^3=e^(\ln x) \\ e^3=x \\ x=e^3 \end{gathered}

the answer is option A.

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