The true solution of the logarithmic equation [tex]\ln e^{\ln x} + \ln e^{\ln x^2} = 2\ln 8[/tex] will be 4.
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The logarithmic equation is given as
[tex]\ln e^{\ln x} + \ln e^{\ln x^2} = 2\ln 8[/tex]
We know that the formula
[tex]\ln e = 1\\\\\ln b^a = a \ln b\\\\\ln a + \ln b= \ln a +b[/tex]
Then we have
[tex]\begin{aligned} \ln x \times \ln e + \ln x^2 \times \ln e = \ln 8^2\\\\\ln x + \ln x^2 = \ln 64\\\\\ln x*x^2 = \ln 64 \end{aligned}[/tex]
Then take antilog, then we get
[tex]\rm x^3 = 64\\\\x^3 = 4^3 \\\\x \ =4[/tex]
More about the logarithm link is given below.
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Answer:
b, x=4
Step-by-step explanation:
edge 2022
PLEASE HELP WILL GIVE BRAINLIEST
Answer: Definition of midpoint
Step-by-step explanation:
Answer:
defintion of midpoint
Step-by-step explanation:
that is the proof
The sum of 9 times a number and 8 is 2
Answer:
where is the question?
Step-by-step explanation:
Isaac bought snacks for his team's practice. He bought a bag of chips for $2.94 and a 8-pack of juice bottles. The total cost before tax was $16.62. How much was each bottle of juice?
Answer:
$1.71
Step-by-step explanation:
Just took the test.
The cost of each juice bottle is $1.71.
Let, the cost of each juice bottle as "x".
Given:
Cost of chips = $2.94
Total cost before tax = $16.62
Isaac bought an 8-pack of juice bottles, so the total cost of the juice bottles is 8x.
The total cost of chips and juice bottles should be equal to the total cost before tax:
Cost of chips + Cost of juice bottles = Total cost before tax
$2.94 + 8x = $16.62
Now, solve for "x" the equation:
8x = $16.62 - $2.94
8x = $13.68
Divide both sides by 8:
x = $13.68 / 8
x = $1.71.
So, the cost of each juice bottle is $1.71.
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What is the length of AD (square)
Answer:
5
ALL SIDES MUST BE THE SAME
Answer:
5 cm
Step-by-step explanation:
One angle of a triangle measures 20°the other two angles are in a ratio of 3:5. What are the measures of those two angles?
Answer:
180-20 = 160 = sum of the other two angles
3/(3+5) = 3/8 x 160 = 60 degrees
5/(3+5) = 5/8 x 160 = 100 degrees
or in radians the other two angles are pi/3 and 5pi/9
Step-by-step explanation:
THIS ANSWER IS CORRECT
BRAIN LESS ANSWER
What is the percent of decrease from 2.2 to 2.2?
Answer:
0
Step-by-step explanation:
(2.2-2.2):2.2*100 =
(2.2:2.2-1)*100 =
100-100 = 0
find six rational number between –1 and 0
Answer:
Answer. so -7/8, -6/8, -5/8, -4/8, -3/8, -2/8 are the six no.
Step-by-step explanation:
The equation cosx = square root 3/2 is an identity.
A. True
B. False
Answer:
false, because cos(x) has no definite answer, and equations aren't identities
Step-by-step explanation:
Please help me!! I don't understand how to do this
Answer:
76 feet^3
Step-by-step explanation:
Well, since s is showed three times on the large box, we can say they are all the same lengths. So, if one side is 4 feet long, then all side length, are 4. So, 4*4*4. This gets us 64.
So the large box's volume is 64, and the small one, is 12. The total volume is them added. 64+12. This gets us 76.
The answer is 76 feet^3
write an essy explaining the importance of tolerance in society
Answer:
Tolerance is needed in all spheres of life, and on every level and in every stage because it plays a vital role in establishing peace and love in all the units of society, from the smallest up to the highest. Lack of tolerance leads to violence, and finally it destroys the peace and security of society.
Step-by-step explanation:
If f(x) = mx² - 6x - 3 and f'(1) = 12. find the value of constant in (a) 9 (b) 3 (c)-3 (d) -4
Answer:
a) 186
b) 6
c) 42
Step-by-step explanation:
[tex]f(x) = m {x}^{2} - 6x - 3[/tex]
f'(1) = 12
f'(x) = 2mx - 6
12 = 2(1)m - 6
12 - 6 = 2m
[tex] \frac{2m}{2} = \frac{6}{2} [/tex]
[tex]m = 3[/tex]
[tex]f(x) = 2 {x}^{2} - 6x - 3[/tex]
a)
f(9) = 3( 9)^2 - 6(9) - 3
f(9) = 186
b)
f( 3) = 3( 3)^2 - 6( 3) - 3
f(3) = 6
c)
f( - 3) = 3( - 3)^2 - 6( - 3) - 3
f(-3) = 42
In the standard (x,y) coordinate plane, a line intersects
the y-axis at (0,2) and contains the point (8,3). What is
the slope of the line?
Answer:
[tex]\sf Slope =\dfrac{1}{8}[/tex]
Step-by-step explanation:
(0,2) ; (8 ,3)
Slope:
[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{3-2}{8-0}\\\\=\dfrac{1}{8}[/tex]
Help help help !! Only answer if you know the answer !!!
Answer:
B.
Step-by-step explanation:
5-2+2=5; -8+9+6=7;
3-1+5=7; 0-0+4=4.
finally, the result matrix is:
[tex]\left[\begin{array}{ccc}5 \ 7\\7 \ 4\end{array}\right][/tex]
Calculate 9[divided]1/3
A.9/3
B.3/9
C.13 1/2
D.27
Please help me.
Answer: I believe the answer would be B
Step-by-step explanation:
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \tt \dashrightarrow \:9 \div \frac{1}{3} [/tex]
[tex]\qquad \tt \dashrightarrow \:9 \times3[/tex]
[tex]\qquad \tt \dashrightarrow \:27[/tex]
so, the correct choice is D. 27
Kenny and Dee Dee purchased 400 shares of Fly-By-Night stock 3 years ago. They initially paid $6,846
for the stock. Last week they sold the stock at $40. 25 per share. The brokers sales commission was
3. 2%
Answer: Im not sure
Step-by-step explanation:
don’t even pay attention to this
A
trapezoid
triangle
square
circle
is the only plane shape in which every point on the figure is the exact same distance from the center.
If you drew a marble from one of the bags below, which bag would give you an equally likely chance of drawing a red or a blue marble?
a bag with 6 red and 19 blue
a bag with 8 red and 9 blue
a bag with 13 red and 13 blue
a bag with 15 red and 14 blue
Answer:
The bag with 13 red 13 blue, because there is a 50% chance of getting a red or a blue
Misty needs 216 square inches of metal
to make a yield sign.
If the height of the sign is 18 inches,
how long is the top edge of the sign?
24 inches
12 inches
198 inches
22 inches
Answer:
24
Step-by-step explanation:
Area = 216
The area of triangle = 1/2 b * h
Since height = 18 --> 1/2 b * 18
so,
216 = 1/2 b * 18
Divide both sides by 18
12 = 1/2 b
Divide both sides by 1/2, (which is the same as multiplying both sides by 2)
24 = b
Answer:
24 inches
Step-by-step explanation:
Given:
[tex]\bullet \ \ \text{Height of sign: 18 inches} \\ \bullet \ \text{Area of Yield sign: 216 inches}^{2}[/tex]
The yield sign shown here is a triangle. Therefore, the question is asking to find the base of the triangle. Keep in mind that the area of a circle is 1/2 multiplied by the base multiplied by the height.
[tex]\implies \text{Area of yield sign} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
Substitute the height and the area in the equation and simplify.
[tex]\implies \text{216 inches}^{2} = \dfrac{1}{2} \times \text{Base} \times 18[/tex]
[tex]\implies \text{216 inches}^{2} =\text{Base} \times 9[/tex]
Divide both sides by 9.
[tex]\implies \dfrac{\text{216}}{9} =\dfrac{\text{Base} \times 9}{9}[/tex]
[tex]\implies24 \ \text{inches} =\text{Base}[/tex]
If a circle is equally divided into 6 angles, what is the measure of each angle?
Step-by-step explanation:
The answer is 60°
because
360÷6 = 60
What does u equal in 4/5u=8
Answer:
u = 10
Step-by-step explanation:
Solve for u by simplifying both sides of the equation, then isolating the variable.
Function 1 is defined by the following table
x. Y
0. 8
3. 12. 5
4. 14
6. 17
Function 2 is defined by line H
Answer:Function 2
Step-by-step explanation:
please huryyyyyyyyyyy!!!!!!!!!!!!!
Answer:
do you hvae more imformation
Step-by-step explanation:
L=9m + 2n. Work out the value of L when m = 3 and n = -6
Answer:
L= 15
Step-by-step explanation:
L= 9m + 2n Given Equation
L = 9 (3) + 2 (-6) Substitute values for their variables
L= 27 + 2 (-6) Simplify multiplication
L= 27 -12 Simplify multiplication (remember a positive times a
negative is a negative)
L= 15 (Simplify)
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
Answer:
[tex]\text Slope = \frac{1}{4}[/tex]
Step-by-step explanation:
the slope of the line that passes through the points
[tex]\large A\left( x_{1},y_{1}\right) \text{and} \ B\left( x_{2},y_{2}\right)[/tex]
[tex]\large \text{slope} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
the slope of the line that contains the points (-1, 2) and (3, 3) is :
[tex]\Longrightarrow \text{slope} =\frac{3-2}{3-\left( -1\right) }= \frac{1}{4}[/tex]
12 = x - 24
I think know the answer but I’m unsure of how to do it
Answer:
36
Step-by-step explanation:
you have to isolate your variable. To do this, you add 24 to each side. On the left side its 12+24 and on the right, its 24+(-24) which then equals zero. In simple terms, x=12+24
Answer:
x = 36
Step-by-step explanation:
Add 24 to 12 because 24 is minus, so when it is moved to the other side of the equation it is plus.
due today need help pls
Answer:
I beleive that the systems of transformation are that
Figure JKLM to Figure J' K' L' M' is a Rotation
Figure J' K' L' M' to Figure J" K" L" M" is a Dilation
Step-by-step explanation:
Please Help i’m stuck on this math problem
Step-by-step explanation:
i tried to give the answer good luck you all
Find f(–2) for the function f(x) = 3x2 – 2x 7. −13 −1 1 23
Answer:
16
Step-by-step explanation:
f ( x ) = 3x² - 2x
To find : f ( - 2 )
f ( - 2 ) = f ( x )
Here,
x = - 2
f ( - 2 ) = 3 ( - 2 )² - 2 ( - 2 )
= 3 ( 4 ) - 2*( - 2 )
= 3*4 + 4
= 12 + 4
f ( - 2 ) = 16
9. Blake is putting carpet in a large
room. He has enough carpet to cover
50 square meters of floor. If Blake
first decides on the length of the
rectangle he's going to cover, the
equation below will tell him what the
width of the rectangle can be.
The equation that will tell him what the width of the rectangle can be is w = 50m² / length.
What equation represents the width of the rectangle?
A rectangle is a 2-dimensional quadrilateral with four equal right angles. A rectangle has two diagonals that are equal in length and bisect each other.
Area of a rectangle = length x width
Width = area / length
width = 50m² / length.
To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449
helpppp meeeeeeeeeee
Answer:
14 is tha answer lmk if it's wrong or righ
Step-by-step explanation: