Problem

Rewrite each equation as requested. (a) Rewrite as a logarithmic equation. \[ e^{6}=y \] (b) Rewrite as an exponential equation. \[ \ln x=4 \] (a) Џ $\square \log _{\square} \square \quad \square \ln \square$ (b)

Solution

Step 1 :\(e^6 = y\) can be rewritten as \(\log_e(y) = 6\)

Step 2 :Since the base e is the natural logarithm, we usually write it as ln, so the final answer is \(\ln(y) = 6\)

Step 3 :\(\ln(x) = 4\) can be rewritten as \(e^4 = x\)

Step 4 :So, the final answer is \(x = e^4\)

Step 5 :The final answers are \(\boxed{\ln(y) = 6}\) and \(\boxed{x = e^4}\)

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Source: https://solvelyapp.com/problems/CIJVJTsBMZ/

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