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(a) Rewrite as a logarithmic equation.e^y=2(b) Rewrite as an exponential equation.In x=9

(a) Rewrite as a logarithmic equation.e^y=2(b) Rewrite as an exponential equation-example-1
User Hypaethral
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1 Answer

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Let's rewrite it the first one


e^y=2


\begin{gathered} \log _ee^y=\log _e2 \\ y=\log _e2 \end{gathered}

When we apply, log on both sides. We have the logarithm of a power equal to its exponent that is why we have y on the left side.

Rewriting the second one:


\begin{gathered} \ln (x)=9 \\ \log _ex=9 \\ x=e^9 \end{gathered}

Since the Natural Logarithm is log in the base "e" we can say that x is equal to e raised to 9

User Sanxofon
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