Answer: [tex]x=1.43\text{ \lparen}option\text{ }A)[/tex]
Explanation:[tex]\begin{gathered} Given: \\ 6\times\text{ e}^x\text{ = 25} \end{gathered}[/tex]
To solve for x, we first need to divide both sides by 6:
[tex]\begin{gathered} \frac{6e^x}{6}\text{ = }\frac{25}{6} \\ e^x\text{ =}\frac{25}{6} \\ \\ Take\text{ natural log of both sides:} \\ lne^x\text{ = ln\lparen}\frac{25}{6}) \end{gathered}[/tex][tex]\begin{gathered} x\text{ = 1.427} \\ \\ To\text{ 2 decimal place, x = 1.43 \lparen option A\rparen} \end{gathered}[/tex]
