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1 year ago

Solve for x: In(x) - In(x+2) = 1

Mathematics

1 answer:

WINSTONCH [101]1 year ago

7 0

The equivalent value of x from the given equation is x = 2e/1-e

<h3>Solving log functions</h3>

Given the log function below expressed as;

lnx - ln(x+2) = 1

Applying the law of logarithm;

ln(x/x+2) = 1

x/x+2 = e^1

x/x+2 = 2.718

x = e(x+2)

x = ex + 2e

x(1-e) = 2e

x = 2e/1-e

Hence the equivalent value of x from the given equation is x = 2e/1-e

Learn more on logarithm here: brainly.com/question/25710806

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Let A = −2 2 1 −3 1 1 2 0 −1 and B = 2 −1 0 1 2 1 −1 −2 4 . Use the matrix-column representation of the product to write each co

BigorU [14]

Answer:

AB = $\left[\begin{array}{ccc}-3&4&6\\-6&3&5\\5&0&-4\end{array}\right]$

Each column of AB is written as a linear combination of columns of Matrix A in the explanation below.

Step-by-step explanation:

A = $\left[\begin{array}{ccc}-2&2&1\\-3&1&1\\2&0&-1\end{array}\right]$

B= $\left[\begin{array}{ccc}2&-1&0\\1&2&1\\-1&-2&4\end{array}\right]$

We need to write each column of AB as a linear combination of the columns of A so we will multiply each column of A with each column element of B to get the column of AB. So,

AB Column 1 = 2 * $\left[\begin{array}{ccc}-2\\-3\\2\end{array}\right]$ + 1 $\left[\begin{array}{ccc}2\\1\\0\end{array}\right]$ + (-1) $\left[\begin{array}{ccc}1\\1\\-1\end{array}\right]$ = $\left[\begin{array}{ccc}-3\\-6\\5\end{array}\right]$

AB Column 2 = (-1) $\left[\begin{array}{ccc}-2\\-3\\2\end{array}\right]$ + 2 $\left[\begin{array}{ccc}2\\1\\0\end{array}\right]$ + (-2) $\left[\begin{array}{ccc}1\\1\\-1\end{array}\right]$ = $\left[\begin{array}{ccc}4\\3\\0\end{array}\right]$

AB Column 3 = (0) $\left[\begin{array}{ccc}-2\\-3\\2\end{array}\right]$ + (1) $\left[\begin{array}{ccc}2\\1\\0\end{array}\right]$ + 4 $\left[\begin{array}{ccc}1\\1\\-1\end{array}\right]$ = $\left[\begin{array}{ccc}6\\5\\-4\end{array}\right]$

Finally, we can combine all three columns of AB to form the 3x3 matrix AB.

AB = $\left[\begin{array}{ccc}-3&4&6\\-6&3&5\\5&0&-4\end{array}\right]$

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3 years ago

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mart [117]

Answer:

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that's what I think

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son4ous [18]

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Matt had a full jar of marbles. He gave Kayla 3/4 of the marbles. Then Kayla returned 1/3 of a jar's worth of marbles to the jar

Aleks [24]

Full jar of marbles, <span>He gave Kayla 3/4 of the marbles so 1/4 left
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3 years ago

Read 2 more answers

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Tcecarenko [31]

Answer:

0.9375

Step-by-step explanation:

1/2=0.5

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2 years ago