SBell1691 SBell1691
  • 15-01-2020
  • Mathematics
contestada

In Exercise, solve the equation for k.
10 = 3e5k

Respuesta :

joaobezerra joaobezerra
  • 15-01-2020

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]

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