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Darya [45]
4 years ago
7

In Exercise, solve the equation for k. 12 = 24e4k

Mathematics
1 answer:
stich3 [128]4 years ago
5 0

Answer:

k = -0.1733

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

24e^{4k} = 12

e^{4k} = \frac{12}{24}

The ln is the interse operation to the exponential, so we apply the ln to both sides of the equality.

\ln{e^{4k}} = \ln{\frac{12}{24}}

4k = -0.6931

k = -\frac{0.6931}{4}

k = -0.1733

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