Answer:
[tex]k = 0.2408[/tex]
Step-by-step explanation:
The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So
[tex]3e^{5k} = 10[/tex]
[tex]e^{5k} = \frac{10}{3}[/tex]
The ln is the interse operation to the exponential, so we apply the ln to both sides of the equality.
[tex]\ln{e^{5k}} = \ln{\frac{10}{3}}[/tex]
[tex]5k = 1.204[/tex]
[tex]k = \frac{1.204}{5}[/tex]
[tex]k = 0.2408[/tex]
