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3 years ago

What is the value of x if e3x+6=8

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

4 0

Answer:

x = 1/3 ln(2)

Step-by-step explanation:

e^(3x)+6=8

Subtract 6 from each side

e^(3x)+6-6=8-6

e^(3x) = 2

Take the natural log of each side

ln (e ^3x) = ln (2)

3x = ln(2)

Divide by 3

3x/3 = 1/3 ln(2)

x = 1/3 ln(2)

Artist 52 [7]3 years ago

3 0

Answer:

2/3

Step-by-step explanation:

I'm not sure of the e is actually there, so I'm answering without it being there.

3x+6=8

3x=8-6

3x=2

x=2/3

Hope the working helped you understand what was going on, if not, I'll edit and give a more detailed explanation. Good luck with homework :)

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natali 33 [55]

You find the eigenvalues of a matrix A by following these steps:

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So, in this case, we have

$A = \left[\begin{array}{cc}1&-2\\-2&0\end{array}\right] \implies A'=\left[\begin{array}{cc}1&-2\\-2&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right]=\left[\begin{array}{cc}1-\lambda&-2\\-2&-\lambda\end{array}\right]$