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

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asked Oct 9, 2023 230k views

1 Answer

Sanxofon · Answer 1 · 2023-10-13T16:26:40+0000

Let's rewrite it the first one

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

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