Complete the sentence below.
If 8^x= 8^3, then x =

Answers

Answer 1

[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]


Related Questions

What was the percent decrease? 2% 14% 16% 7%

Answers

Answer:

Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.

Step-by-step explanation:

solve the following x2-2x-24=0

Answers

Answer:

[tex]x=6[/tex] and [tex]x=-4[/tex]

Step-by-step explanation:

[tex]x^2-2x-24=0[/tex]

[tex](x-6)(x+4)=0[/tex]

[tex]x=6[/tex] and [tex]x=-4[/tex]

the least number by which 7203 must be divided to make the result a perfect square is____​

Answers

Answer:

Step-by-step explanation:

we should divide it by 3 to get a perfect square .and the square root of the perfect square is 49

Given number is 7203. First we write it as the product of prime factors.

[tex]\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{3}}& {\sf{ \underline{ \pink{7203} \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{7}}&{\sf{ \underline{2401 \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{343 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{49\: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{7 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{}}&{\sf{ 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \end{array}\end{gathered}\end{gathered}[/tex]

[tex]\qquad[/tex][tex]\purple{ \bf\longrightarrow 7203 = 3 \times 7 \times 7 \times 7 \times 7} [/tex]

Clearly 3 has no pair! That means if we divide 7203 by 3, we get 2401 which is the square of 49. Hence, the smallest number by which 7203 must be divided to make the result a perfect square is 3.

____________________________________________

For question 1, find the x- and y-intercept of the line.
-10x -5y=40
A. x-intercept is 5; y-intercept is -10
B. x-intercept is 8; y-intercept is -4
C. x-intercept is -10; y-intercept is 5
D. x-intercept is -4; y-intercept is 8

Answers

The correct answer is D. x is (-4,0) and y is (0,-8)










I really really really need help with this

Answers

Answer:

404

Step-by-step explanation:

Simplify = 8 + 30 x 13 + 6

Left to right = 8 + 390 + 6

Result = 404

Leave a brainliest if this helped.

Answer:

404

Step-by-step explanation:

do the equation inside the brackets first (BIDMAS) - 5 x 6 = 30

48 / 6 = 8

8 + (30 x 13) + 6 = 38

30 x 13 = 390

8 + 390 + 6 = 404

Which one weighs more a watermelon that weighs 7.5 kilograms or a pumpkin that weighs 12 pounds?

Answers

Answer : The watermelon weighs more

Step - by - step explanation :

First do . . . what is 7.5 kilograms into pounds ? 16.5347 ( rounded is 17 pounds )

Second compare . . . 17 > 12

Hope this helped ! :D

Rewrite the expression 3a^2b^3c^5 / 8x^4y^3z so that it has no denominator

Answers

There are no like terms, so you cannot simplify it any farther

Pls help if correct ill mark brainliest. fill in the blanks with the correct term :p

Answers

Answer:

11. attends

12. attend

This graph represents the design of a child’s slide what is the slope of the slide

Answers

Answer:

I think it is 1/2 because it goes up 1 over 2

PLEASE HELP SOMEONE. ILL GIVE BRAINIEST.
Caitlyn and Daniela are going out for pizza to their local gourmet pizza shop. They order a pizza with a total of 5 toppings. The restaurant charges 8 dollars for a pizza, plus $1 per basic topping and $2 per premium topping. The girls spend a total of $15 on their pizza. Let x = the number of basic toppings and y = the number of premium toppings. What equation accurately represent this situation? Like as a systems of equations where the two points intersect. The point where they intersect will be the answer.

Answers

25

8×1=8

8 +2=10

10+15=25

The answer is the 1st image, and the explanation is the 2nd image.

The answer in text if seeing the image is not possible; x + y = 5 and x + 2y + 8 = 15

select the two values of x that are roots of this equation 2x^2-11x+15=0

Answers

X=5/2 and 3. Factor the equation find numbers that will sum up too -11 involving the coefficient of 2, and that multiply into 15. 2x too the power of 2 -11x +15=0 (2x-5)(x-3) =0

please help me I'm begging please help me solve it​

Answers

Answer:

17/13

Step-by-step explanation:2

27−13h=10

subtract 27 from both sides of the equation.

simplify. Divide both sides of the equation by the same term

Simplify and you get 17/13. in decimal form its 1.3077. i hope this is correct and helps you <33. follow me if you ever need more answers!!

That's the answer i hope it helps you

Question 3
If f(x) = -2 and g(x)= 3x2 +2x - 6, find (+g)(x).

A. 3x+3x+4
B. 3x2 +x-8
C. X2 +12
D. 3x2 + x - 3

Answers

Answer:

Step-by-step explanation:

For example, it is more usual to talk about polynomials of degree 6 than to ... Given the polynomials f (x)=3x3 +7x2−5x + 8, g(x) = −x5 + 6x4−2x3+ x−3 ...

Find the inverse function. f(x) = x - 5​

Answers

Answer:

f^-1 (x) = x^2 + 5

Step-by-step explanation:

f(x) = √x - 5

replace x with y

x= √y - 5

solve for y,

x =√y-5

x^2 + 5

Answer -

f^-1(x) = x^2 + 5

HOPES THIS HELPS :)

What is 11k+9=42 ? and how to do the work for it

Answers

Answer:

k = 3

Step-by-step explanation:

multiply 11 and 3 and you get 33 and then add 9 which you get 42

Answer:

k = 3

Step-by-step explanation:

[tex]11k+9=42\\\\11k+9-9=42-9\\\\11k=33\\\\\frac{11k}{11}=\frac{33}{11}\\\\k=3[/tex]

In order to join a yoga club you have to pay an annual fee and a fee per class. At Yoga For Us the annual fee is $30 and $5 per class. At Stretch Land the annual fee is $60 and
$2 per class. After how many classes would the fees be the same?
After 10
classes the feels the same.

Answers

It will take 10 classes for YOGA FOR US & STRETCH LAND to have the same amount of money spent on yoga classes.

For Yoga For Us after 10 classes . You would have spent 50 dollars for the classes,plus our $30 fee is (50+30) which is $80

For Stretch Land after 10 classes.  You would have spent 20 dollars for the classes,plus our $60 fee is (60+20) which is $80.

Each yoga studio will have gathered $80 after 10 classes.

Hope this helps <3 & don't forget to drink water!!

Can someone please help me with this question.

How can you tell whether two sets of data, ordered pairs, vary directly?

Answers

Answer:

graph them

Step-by-step explanation:

you can tell if you graph them

A camp charges $75 per day to use the camp plus $15 per day for food and supplies for each student. The cost for one day can be modelled using the equation C= 15s + 75.

a) What do the variables C and s represent?

b) A school raised $375 for a one-day trip. How many students can go?

((see pic for textbook question))​

Answers

b:375:75=5 or 370:100=3.75 but it doesn't make sence B=5

If x is equal to 9 and y is equal to -3, then what is the value of…….? x - 9y - 3x + 6y -13?

Answers

We are given –

x =9 y = -3

Now put the values

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 9y - 3x + 6y -13[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 -(9 \times -3) -(3 \times 9) +(6 \times -3) -13 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 + 27 -27 -18 -13 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 +\pink{\cancel{27}}-\pink{\cancel{27}} -31[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf-22[/tex]

Henceforth, value of x - 9y - 3x + 6y -13 is -22.

________________________________________

Answer:

Value of x - 9y - 3x + 6y -13 is -22 .

Step-by-step explanation:

In the question we have given an expression and values of x and y that is 9 and -3 respectively and ,

We have asked to find the value of x - 9y - 3x + 6y -13 by substituting values of x and y .

[tex] \longmapsto \:x - 9y - 3x + 6y -13[/tex]

So , Substituting the values of x and y ,

[tex] \longmapsto \: 9 - 9 \bold{( - 3)} - 3\bold{(9)} + 6\bold{( - 3)} - 13[/tex]

Now , calculating the values ,

[tex] \longmapsto \: 9 + 27 - 27 - 18 - 13[/tex]

[tex] \longmapsto \: 9 + \cancel{ \red{27}} - \cancel{ \red{27 }}- 18 - 13 [/tex]

[tex] \longmapsto \: 9 - 31[/tex]

[tex] \longmapsto \: \pink{\boxed{- 22}}[/tex]

Therefore , value of given expression that is x - 9y - 3x + 6y -13 is -22 .

#Keep Learning

Which of the following ordered pairs are solutions to the system of equations below?


Answers:
A.) (3.5, 5.8)
B.) (3.5, -5.8)
C.) (-3.5, -5.8)
D.) (-3.5, 5.8)

Answers

The answer is B. 3.5, -5.8

Name the solution
A.
(2, -3)
B.
(3, 2)
C.
(3, -1)
D.
(0, -2)

Answers

Answer:

C. (3, -1) is a solution

Step-by-step explanation:

It is inside in the double shaded area.

HELPPPPP!!!!!!!!!!!!!!!!!!!! THIS IS DUE IN 17 MINUTES AND THIS IS THE LAST QUESTION I NEED THE ANSWER TO! (((PLEASE ACTUALLY GIVE ME THE ANSWER AD NOT THE LINKY PLEASE!!)))

Answers

Answer:

689/1000

hope this helped

Mrs. Saunders bought a 19 pound turkey for Thanksgiving. The total cost of the
turkey was $25.65. What was the cost of turkey per pound?

Answers

Answer:

$1.35 per pound

Step-by-step explanation:

25.65/19=1.35

pleeeeeeeeeeeease help :)

ty

Answers

Answer:

y = 3x + 16

Step-by-step explanation:

If it is parallel to y = 3x + 8, then it has the same slope of 3.

y = 3x + b. Substitute the x and y values into the equation to solve for b.

7 = 3(-3) + b

7 = -9 + b

16 = b

y = 3x + 16

Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.

Answers

Answer:

8.9443

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.9443

linear equations
(5x+9)-(7x-1)=

Answers

-2x+10

Leave a comment if any doubt

Suppose you are putting up a tent for a camping trip.
The 9 foot center pole makes a right angle with the ground. If a rope goes from the top of the pole to a point on the ground 12 feet away from the base of the pole. how long of a rope is needed?

Answers

The length of the rope needed is 15 feet

Given the following parameters;

Height of the pole = 9 footThe distance from the rope away from the base of the pole is 12 feet

Required

Length of the rope.

To get the length of the rope, you will use the pythagoras theorem expressed as:

c² = a² + b²

Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

Learn more on Pythagoras theorem here: https://brainly.com/question/231802

WILL GIVE BRAINLIEST HELP ASAP

Answers

Step-by-step explanation:

I cannot draw here, but I can show and tell you how to find 2 points of the individual lines that you can then mark on the chart and draw the line through them.

1)

y = 7/2 x - 2

so, the first and easiest point is the y-intercept (where x = 0).

x = 0, therefore, y = -2

so, the first point is (0, -2)

for the second point : what value of x would eliminate the fraction and make this whole integer number calculations ?

well, x = 2 !

so,

y = 7/2 × 2 - 2 = 7 - 2 = 5

and our second point is (2, 5)

2)

y = -6x + 3

the same principles. first x = 0, therefore y = 3

the first point is (0, 3)

for the second point we can choose any integer x, as all the other terms are integer too.

let's pick x = 1

y = -6×1 + 3 = -6 + 3 = -3

so, the second point is (1, -3)

3)

y = -5

this just means that for every possible value of x the resulting y value is -5.

that means it is a horizontal line through y = -5 or (0, -5)

4)

y = 6/5 x + 1

the same principles. x = 0, therefore y = 1

the first point is (0, 1)

for the second point, again, what x eliminates the fraction and makes all an integer operation ?

well, x = 5.

y = 6/5 × 5 + 1 = 6 + 1 = 7

ok, 7 is off the chart, so let's use x = -5 instead.

y = 6/5 × -5 + 1 = -6 + 1 = -5

so, the second point on the chart is (-5, -5)

Use the GCF and the Distributive Property to find the sum. 26+39

Answers

Answer:

65--but the method is the important part that the directions indicated.

Step-by-step explanation:

26 + 39

(2 × 13) + (3 × 13)

The GCF is 13.

Factor the 13 out; it's like Distributive Property in reverse.

13 (2 + 3)

13 (5)

65

26+39= 65, so we obtain the same answer as just adding, by using GCF and Distributive Property.

Answer:

  13(2 +3)

Step-by-step explanation:

26 = 2·13

39 = 3·13

The greatest common factor is 13, so the sum can be written ...

  26 +39 = 13(2 +3)

_____

Additional comment

Of course, the value of the sum is ...

  13(2+3) = 13(5) = 65

Alternatively, the sum can be evaluated as ...

  26 +39 = 26 -1 +1 +39 = (26 -1) +(1 +39) = 25 +40 = 65

Which of the following does not describe slope? O A rate of change
O A proportional relationship
O A line
O Rise over run ​

Answers

Answer: Should be a line

Step-by-step explanation:

A line is the answer why because I know it
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