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Find the inverse log5(x-10)

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ANSWER:


f^(-1)(x)=5^x+10

Explanation:

We have the following function:


y=\log_5\left(x-10\right)

To calculate the inverse, we must replace y by x and also x by y, and solve for y, like this:


\begin{gathered} x=\log _5\left(y-10\right) \\ \\ 5^x=y-10 \\ \\ y=5^x+10 \\ \\ f^(-1)(x)=5^x+10 \end{gathered}

User Fractious
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