1 Answer

Yandros · Answer 1 · 2023-06-02T20:27:34+0000

$5+2\ln (x)=4$

1. Subtract 5 in both sides of the equation:

$\begin{gathered} 5-5+2\ln (x)=4-5 \\ 2\ln (x)=-1 \end{gathered}$

2. Divide both sides of the euqation into 2:

$\begin{gathered} (2\ln (x))/(2)=-(1)/(2) \\ \\ \ln (x)=-(1)/(2) \end{gathered}$

3. Wrie the lograrithm in exponential form:

$\begin{gathered} \ln (x)=b \\ x=e^b \\ \\ \\ \ln (x)=-(1)/(2) \\ \\ x=e^{-(1)/(2)} \end{gathered}$

4. Use properties of powers to rewrite:

$\begin{gathered} x=\frac{1}{e^{(1)/(2)}} \\ \\ x=\frac{1}{\sqrt[]{e}} \end{gathered}$

5. Evaluate:

$x\approx0.607$

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