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3 years ago

Express as a single natural logarithm. ln 2 + ln 8 - ln 4

Mathematics

2 answers:

ch4aika [34]3 years ago

5 0

<h2>skip to answer 6</h2>

Answers To The Whole Assignment

1. middle graph

2. middle graph

3. in e^3 = 3, in e^2y=2y

4. in e^ln1=1, in e^ln5x=5x

5. A. In2

6. A. In4

7. B. ln a + 2 ln b C. ln a2 + ln b2 - ln a E. ln ab2

8. C. ln 25x + ln 1 D. ln 25x

9. In 3x= in3+ln x= in In 2a/b= In2+ln a-lnb

10. A. 4 ln 2 + 4 ln x B. ln 4 - 2 ln x + 5 ln y

11. A. x=5 B. x=6

12. C. {8} B. {3}

13. 5

14. Since 0 in ln(3x) - 0 is not a logarithm, the property of logarithms cannot be used here.The difference shown cannot be written as a quotient of logarithms.The step ln(x2) = ln(3x) - (0) reduces to

ln(x2) = ln(3x).The possible solutions are 0 and 3, with 0 being extraneous.

MArishka [77]3 years ago

5 0

Answer:

ln 4

Step-by-step explanation:

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The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilometers in a pound. To the nearest

Nadusha1986 [10]

0.45 * 2 is 0.9
$1.44 * 2 is $2.88
$1.44/9 is $0.16
$0.16 * 2 is $0.32
$2.88+$0.32 is $3.20

The answer is $3.20

5 0

4 years ago

Matrix A = [6 -12 4 8]. What is matrix X if 1/2x=A?

Step2247 [10]

Answer:

$X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$

Step-by-step explanation:

A matrix is given by

$A = \left[\begin{array}{cccc}6&-12&4&8\end{array}\right]$

Now, we have to find the matrix X if $\frac{1}{2} X = A$

⇒ X = 2A

Now, multiplication of a constant with a matrix means multiplication with that constant with all the terms of the matrix.

So, $X = \left[\begin{array}{cccc}6 \times 2&-12 \times 2&4 \times 2&8 \times 2\end{array}\right]$

⇒ $X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$ (Answer)

4 0

4 years ago

Read 2 more answers

If 8 boxes of crayons cost $20 , what would 6 boxes cost ?

Y_Kistochka [10]

Answer:

$15

Step-by-step explanation:

To figure thsi out, you do 20 divided by 8, which gives you 2.5 ($2.50.)

Next you do 2.50 x 6 which gives you 15 ($15.)

The answer is $15.

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6 0

3 years ago

What is the area of the shape below

Bad White [126]

Answer:

The area of the shape is $A=886 \:cm^2$ .

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is $A=34\cdot 16=544\:cm^2$

The area of the second rectangle is $A=11\cdot19=209\: cm^2$

The area of a triangle is given by the formula $A=\frac{1}{2} bh$ where <em>b</em> is the base and <em>h</em> is the height of the triangle.

The area of the triangle is $A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2$

Finally, add the areas of the simpler figures together to find the total area of the composite figure.

$A_{composite\:shape}=544+209+133=886 \:cm^2$

3 0

4 years ago

If the product of two consecutive odd integers is decreased by one-third the lesser integer, the result is 150. find the integer

dlinn [17]

X(x+2)-(1/3)x=150
x²+2x-(1/3)x-150=0
x²+(5/3)x-150=0
3x²+5x-450=0
this does not produce an integer, because b²-2ac=5²+4*3*450=5425, and √5425=73.6546 is not an integer.
Please double check your question.

6 0

3 years ago