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Eln(x-3) = 9what are the steps to solve? I am so confused, what is ln even??

Eln(x-3) = 9what are the steps to solve? I am so confused, what is ln even??-example-1

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e^(In(x-3))=9^{}
Ine^(In(x-3))=In\text{ 9}
In(x-3)=In\text{ 9}
\begin{gathered} x-3=9 \\ x=9+3 \\ x=12 \end{gathered}

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