Problem

Express the equation in logarithmic form:
(a) $e^{x}=4$ is equivalent to $\ln A=B$. Then
\[
A=4
\]
and
\[
B=
\]
(b) $e^{5}=x$ is equivalent to $\ln C=D$. Then
\[
\text { C }=
\]
and
\[
D=
\]

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Answer

\(e^{5}=x\) can be rewritten in logarithmic form as \(\ln x = 5\). So, \(C=x\) and \(D=5\).

Steps

Step 1 :\(e^{x}=4\) can be rewritten in logarithmic form as \(\ln 4 = x\). So, \(A=4\) and \(B=x\).

Step 2 :\(e^{5}=x\) can be rewritten in logarithmic form as \(\ln x = 5\). So, \(C=x\) and \(D=5\).

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