Respuesta :

Given:

[tex]e^{3x}+4=50[/tex]

Find: Value of "x" in logarithm.

Sol:

[tex]\begin{gathered} e^{3x}+4=50 \\ e^{3x}=50-4 \\ e^{3x}=46 \end{gathered}[/tex]

Take log both sides.

[tex]\begin{gathered} \log_{_e}e^{3x}=\log_e46 \\ 3x=\log_e46 \\ x=\frac{\log_e46}{3} \end{gathered}[/tex]

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