what is the logarithmic form for
[tex]2 { }^{x - 4} = 32[/tex]
Answers
Answer:
[tex]2^x-4=32\quad :\quad x=\frac{2\ln \left(6\right)}{\ln \left(2\right)}\quad \left(\mathrm{Decimal}:\quad x=5.16992\dots \right)\\\\2^x-4=32 \\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\2^x-4+4=32+4\\\mathrm{Simplify}\\2^x=36\\\\apply exponential rule\\x\ln \left(2\right)=\ln \left(36\right)\\x\ln \left(2\right)=\ln \left(36\right)\\x=\frac{2\ln \left(6\right)}{\ln \left(2\right)}[/tex]
hope it helps:)
![What Is The Logarithmic Form For [tex]2 { }^{x - 4} = 32[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/RERQwljWnw7afJbiawL4wbFsb00xie7s.png)
Related Questions
Solve the equation for x.
2(2x - 4) = 3(x + 4)
Answers
Answer:
2(2x-4)=3(x+4)
4x-8=3x+12
4x-3x=12+8
x=20
What's the value of
[tex] = > 12 \times 5 + 45 - 36[/tex]
Answers
Answer:
12×5+45-36=60+9=69 is your answer
Answer:
12×5=60+45=105-36=69
WILL MARK!!
Select the correct answer.
Which function does this graph represent?
Answers
Answer:
I believe the answer is C
Step-by-step explanation:
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Answers
Answer:
Its c have a nice day! <3
Step-by-step explanation:
1/3 of 18 helpp please
Answers
Answer:
6
Step-by-step explanation:
the answer to 1/3 of 18 is 6.
19. If 4 + 2(3x - 4) = 8, then 4x -4 =
4
8
6
2
Answers
Answer:
4
Step-by-step explanation:
First, solve for x:
4 + 2(3x - 4) = 8
4 + 6x - 8 = 8
6x = 12
x = 2
Now, plug x into 4x - 4:
4(2) - 4 => 8 - 4 = 4
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Carmen is filling a tank with water at a rate of 4 gallons per minute. The tank already had 170 gallons of water in it. Suppose the tank holds a total of 350 gallons of water. How much longer will it take her to fill the tank?
(a) Write an equation to help answer the question above.
Choose the correct form below and fill in the blanks using only 4, 170, and 350.
(The variable x is used to represent the number of minutes.)
o_x+_=_
or
o_-_=_
(b) Write an expression to help answer the question above.
Choose the correct form below and fill in the blanks using only 4, 170, and 350
o_+_
_
or
o_-_
_
(c) How much longer will it take Carmen to fill the tank?
_ minutes
Answers
Answer: In explanation
Step-by-step explanation: 350-170=4x
Solve 180=4x
45=x 45 minutes longer
4x+170=350 because you would want to subtract 170 from each side not add 170 to each side when simplifying
4x+170 because that is how much gas the tank can hold. You need to have 4x in the equation and 350 and 4x wouldn't make sense so use 4x and 170.
45 minutes as stated above.
Gabriel wants to solve the equation 5 eights M equals 25 what steps should he do to get him by itself on one side of the equation
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the Equation :
(5/8)m = 25
The first step to take with this kind of equation is to multiply both sides by the denominator, 8
5m/8 * 8 = 25 *8
5m = 200
Then, we can divide both sides by 5 in other to isolate m
5m / 5 = 200 / 5
m = 40
Answer: m+40
Step-by-step explanation:
Given the Equation :
(5/8)m = 25
The first step to take with this kind of equation is to multiply both sides by the denominator, 8
5m/8 * 8 = 25 *8
5m = 200
Then, we can divide both sides by 5 in other to isolate m
5m / 5 = 200 / 5
m = 40
Given the vertex form of a parabola
Answers
Determine if this table is a linear function. If so, what is the slope?
Answers
Answer:
No, it is not linear
Step-by-step explanation:
It does not steadily increase the same interval every time.
Hope this helps (:
The graphs below have the same shape. What is the equation of the blue
graph?
5
f(x) = x
W
Na
g(x) = 2
g(x) = -
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x+4)2 - 1
O c. g(x) = (x - 4)2 - 1
O D. g(x) = (x+4)2 + 1
Answers
Answer:
If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1
The equation of the blue graph is,
⇒ g (x) = (x - 4)² + 1
Given that;
The given function is,
⇒ f (x) = x²
Since, It is given that both graph has same shape it means the equation of blue graph is in the form of;
⇒ g (x) = (x - h)² + k
Where, (h,k) is the vertex of the parabola.
Hence, From the given graph it is noticed that vertex of blue parabola is (4,1),
Therefore, the equation of parabola is,
⇒ g (x) = (x - 4)² + 1
Thus, The equation of the blue graph is,
⇒ g (x) = (x - 4)² + 1
Learn more about the function visit:
https://brainly.com/question/11624077
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Find the missing side of this right
triangle.
Answers
Answer: I believe it’s 15
Step-by-step explanation:
Solve, using linear combination.
8x + y = 14
3x + y = 4
(2.0)
(2,-2)
(0.2)
(-2.2
Answers
Answer:
(2,-2)
Step-by-step explanation:
Find h. 11 in. h = [?] in. 1 1 1 14 in. Enter
Answers
Answer:
You know that the Pythagorean Theorem is:
a²+b²=c²
,
Where:
a
is the length of one of the legs,
b
is the length of the other leg, and
c
is the length of the hypotenuse.
You know the lengths of the two legs are
7 and 11
, so we'll say that
a is 7 , and b is 11
Knowing that, we can plug those into our equation and simplify like so:
7²+11²=c²
49+121=c²
170=c²
√170=c
c=13.0384
Answer:
√72Step-by-step explanation:
Use Pythagorean:
h² + (14/2)² = 11²h² + 49 = 121h² = 121 - 49h² = 72h = √72 inThe cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of raisins were needed?
Answers
The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
13, 5, 12
A. Acute Triangle
B. Obtuse Triangle
C. Right Triangle
Answers
Answer:
C. Right TriangleStep-by-step explanation:
Verify with Pythagorean:
13² = 1695² + 12² = 25 + 144 = 169169 = 169We see the squares are equal, so this is a right triangle.
Correct choice is C
2/5p-3.11=1.13
what is p
Answers
2p-4+16=5p-9
-3p-4+16=-9
-3p-4=16+-9
And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.
Did this help?Rick bought a car for $17,500. Each year, the car's value decreases by 20%. At this rate, what can Rick expect the value of his car to be in 6 years? *
$1.12
$15,502.24
$4,587.52
$17,380.00
Answers
Answer:
His car would be worth $15,502.24
Step-by-step explanation:
20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to the closest number which is $15,502.24
Mrs. Hazen bought 4 1/2 pounds of bananas to make a banana cream pie. There are 16 ounces in a pound. How many ounces of bananas did Mrs. Hazen purchase?
Answers
Answer:
72 ounces of bananas
Answer:
72
Step-by-step explanation:
4.5 ties 16 = 72
can someone help me please??!?!
Answers
Help asap I have to get my work done soon or I will be up all night.
7mp(m + p + x + 2mp)
Answers
Answer:
=14m^2p^2+7m^2p+7mp^2+7mpx
• How much do customers have to spend in order to raise $1,000 for the pet rescue program? Amount Spent (dollars) 120 Amount Donated (dollars) 1000
Answers
Complete question :
a pet store had a special offer this weekend. for every $120 that customers spend, $3 is donated to a pet rescue program. How much do customers have to spend in order to raise $1000 for the pet rescue program?
Answer:
$40000
Step-by-step explanation:
Offer :
For every $120 spent ; $3 is donated
In other to raise $1000 ; $x would have to be spent ; we can obtain the value of x using cross multiplication ;
$120 = $3
$x = $1000
Cross multiply
$(120 * 1000) = $3 * x
$120000 = $3x
x = 120000 / 3
x = 40,000
Hence, in other to raise $1000 ; $40000 would have to be spent by customers.
Please help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:A-false B-false C-true D-true E-false
Step-by-step explanation:
if im wrong pls tell me :)
3(4x+6)=-4
What property did you use to solve this problem?
Answers
Answer:
The distributive property
Step-by-step explanation:
You have to distribute the 3 to the parenthesis so it is the distributibe property.
Whats the answer to this question plz
Answers
1. x=13
2. m<OME=128
Step-by-step explanation:
1. 5x=65
x=65÷5
x=13
2. 4x+2x-12=180
6x-12=180
6x=180+12
6x=192
×=32
<OME=4×(32)
<OME=128
Answer:
1) x=13
2)m<OME=128.
Step-by-step explanation:
1) 5x=65
x=65:5
x=13
2) 4x+2x-12=180
6x-12=180
x=32.
Simplify this expressions 5x -7 + 3x + 10
Answers
Answer:
8x + 3
Step-by-step explanation:
=5x+−7+3x+10
=(5x+3x)+(−7+10)
=8x+3
Can any one help me 11 points no lnks pls. Just help with any of these
Answers
Answer:
5. m<1 = 114 degrees
m<2 = 66 degrees
6. 2x + 3x + 4x = 9x = 180, x = 20
7. 3
8. 1/3
Hope that helps!
-scsb
Step-by-step explanation:
Answer:
66
20
3
1/3
Step-by-step explanation: Can I get brainliest? Thanks!
5. m∠2 = 180-59-55 = 66
m∠1 = 180-66 = 114
6. 2x+3x+4x=180
x(2+3+4)=180
x(9)=180
x=180/9=20
Plug back in to check:
2(20)+3(20)+4(20)=40+60+80=180
7. (3,8) to (9,24)
(9,24)/(3,8) = (3,3) so scale factor = 3
8. (12,15) to (4,5)
(4,5)/(12,15) = (1/3,1/3) so scale factor = 1/3
HELP HELP HELP PLS :(
Answers
Answer:
A
Step-by-step explanation:
becaus emultiply 24 x 18 and its 432
I need help I'm so confused
Answers
Answer:
Yeah me too buddy :(
Step-by-step explanation:
which graph represents the function f(x) = 3x-2/x-2?
Answers
Answer:
solve for x and that should help match the equation to the correct grapgh, hope this help!
Step-by-step explanation: