Write the log equation as an exponential equation. You do not need to solve for x.
log (x^2– 5x + 14) = 2x + 4

Answers

Answer 1

9514 1404 393

Answer:

  x^2 -5x +14 = 10^(2x +4)

Step-by-step explanation:

The relationship is ...

  log(a) = b   ⇔   a = 10^b

__

Using this with a=x^2-5x+14 and b=2x+4, we have ...

  x^2 -5x +14 = 10^(2x +4)

_____

Additional comments

In plain text, the exponent needs parentheses, because superscript formatting is not available to tell what is and isn't part of the exponent.

The base of "log" is assumed to be 10 in high school algebra. In the larger world, "log" is often used in place of "ln" to mean the logarithm to base 'e'.

__

The one solution is approximately x = −1.32505947996.


Related Questions

Mia went to the art store and bought 2 poster boards and 3 markers. She spent A total of $6.50. The total tax was $1.25. How much did each marker cost? *

Answers

The answer is $1.05 but this is only right if the posters cost the same amount as the markers.

Enter an equation in point-slope form for the line.
Slope is 8 and (-7, -1) is on the line.
The equation of the line in point slope form is:

Answers

Answer:

y + 1 = 8 (x + 7)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

So replace the y1 with the y point, and the x1 with the x point

y - (-1) = m (x - (-7) )

then replace the m with the slope

y - (-1) = 8 (x - (-7) )

now solve

y + 1 = 8 (x + 7)

Im Timed Help Pls I need help with math problem

Answers

Answer:

35.36 i think

Step-by-step explanation:

40%x68=27.2

20%x27.2=5.44

27.2+5.44=32.64

68-32.64=35.36

$35.36

want to study procrastination and social anxiety levels in undergraduate students at your university.You send a group email to all students to sign up to be contacted about participating in research.Only 2000 students signed up to be contacted about participating in the research. You choose asample of 100 students using a simple random sample from the students who signed up. You assigna number to every student in the research participant database from 1 to 2000 and use an SRSmethod to select 100 numbers.Is this sample biased

Answers

Answer:

Yes.  There is a bias in the selected sample.

Step-by-step explanation:

Population of interest = undergraduate students at the university

Respondents to email requests = 2,000 students

Sample size = 100 students

Sample is based on the 2,000 respondents.

Therefore, sample is biased.

b) A sampling method is said to be biased if it systematically favors a group.  By making some members of the student population systematically more likely to be selected in a sample than others, there is an occurrence of sampling bias.  Usually, findings from biased samples can only be generalized to populations that share characteristics with the sample and to the entire population of interest.

Magda works at a charity for homeless people.
She needs to make lunch for 15 people.
Magda knows this rule to find the amount of rice she needs to cook.

Magda thinks she needs to cook 10 cups of rice for 15 people.

Is Magda correct?

Answers

Answer:

yes

Step-by-step explanation:

if their is no explaining the best choice would be yes

15 POINTS. Hey yall, I'm having a bit of trouble with this problem. Can someone help, please?

Answers

Perpendicular line I believe

Answer:

they are parallel

Step-by-step explanation;

You would have to get the Y by itself in the bottom one so go

2x-3y=-3

-2x        -2x

-3y=2x-3

_________

-3        -3

_________

y= -2/3x+ 1

and they are the same equaion

so they end up parallel

How many 3/8 are in 5/4

Answers

Answer:20

Step-by-step explanation:

What is the measure of

Answers

Answer:

Step-by-step explanation:

∠BAC = 180° - 75° = 105°

The sum of the angles of a triangle is 180°.

(3x+2) + (10x-5) = 75

13x-3 =  75

x = 6

∠B = 3x+2 = 20°

∠BCF = 10x-5 = 55°

How do you graph y=−x−2.

Answers

Y=-x-2 that is how you graph it
Isn’t that how you graph it? I’m confused about the question sorry!

Read the Instructions please I will mark

Answers

Answer:

The answer is 42

Step-by-step explanation:

6²= 36

3(3)=9

36+9×2/3 = 42

Because he likes chicken and candy 5x7=35     ,,,,

One teacher wants to give each student 13/8 slices of pizza. If the
teacher has 22 slices of pizza, then how many students will she be able to
hand out pizza to?
HELP

Answers

i think its 13.5 jdjdiwiw

Answer:

I think it's 18 students

Step-by-step explanation:

I used division. Hope this helps

There once was a ship that put to sea
The name of the ship was the Billy of Tea
The winds blew up, her bow dipped down
O blow, my bully boys, blow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

She had not been two weeks from shore
When down on her a right whale bore
The captain called all hands and swore
He'd take that whale in tow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Before the boat had hit the water
The whale's tail came up and caught her
All hands to the side, harpooned and fought her
When she dived down low

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

No line was cut, no whale was freed
The Captain's mind was not of greed
And he belonged to the whaleman's creed
She took that ship in tow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

For forty days, or even more
The line went slack, then tight once more
All boats were lost, there were only four
But still that whale did go

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

As far as I've heard, the fight's still on
The line's not cut and the whale's not gone
The Wellerman makes his regular call
To encourage the Captain, crew, and all

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Answers

thanks for the points

PLEASE HELP ME 12 POINTS

Answers

Answer:

Streamers cost 2.50 and balloons cost 1.25.

Step-by-step explanation:

Pls mark brainliest.

Answer:

Balloon : $1.25

Streamer : $ 2.50

Step-by-step explanation:

Form simultaneous equations.

Let streamer be represented by ------------s

Let balloons be represented by ------------b

So the equations will be;

3s + 2b = 10 ----------------i

2s + 1b = 6.25---------------ii

Make the terms with s equal by multiplication

[3s + 2b = 10 ]2

[2s + 1b = 6.25]3

Perform subtraction

6s + 4b = 20

6s + 3b = 18.75

b = 1.25 ---------iii

Use  iii  in ii  as;

2s + 1b = 6.25

2s + 1.25 = 6.25

2s = 6.25 - 1.25

2s = 5.00

s= 5.00 / 2

s= 2.5

Hence ; a balloon is  $1.25   and a streamer is $2.5

How much greater is the mass of Can A than Can B? cola cola B Con A: 20 grams Can B: 480 grams 360 grams 340 grams 240 grams 260 grams​

Answers

Answer:

I would say 340 grams........

Step-by-step explanation:

340 grams

Answer: 240

Step-by-step explanation:

they are wrong because 720-480=240.

Find the coordinates the intersection of the diagonals of parallelogram QRST if with vertices Q(-2,-1), R(-3,6), S(1,5), and T(2,-2) HELP PLS

Answers

Answer:

(-0.5, 2)

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

Intersection point is the midpoint of either diagonal.

Let's take QS and calculate midpoint using midpoint formula:

Q(-2, -1), S(1, 5)x = (x1 + x2)/2 = (-2 + 1)/2 = -1/2 = -0.5y = (y1 + y2)/2 = (-1 + 5)/2 = 4/2 = 2

Point (-0.5, 2) is the answer

If a video is getting 5,000 views every 10 minutes, how long will it take to reach 60,000 views?

Answers

Answer:

60,000÷5000=12

12×10=120 minutes.

Solve: 13x+4.............X=2

Answers

Answer: X=2/17

Hope this helps

245,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Answers

Answer:

Ummm WHAT! IS THIS FREE POINTS?!

Step-by-step explanation:

The seller of a watch marked up the price by 30%, and the new price is $468.00. What was the watch’s original price before the markup?

Answers

Answer: I THINK SO 608.4

HOPE THIS HELPS

is this correct? help please

Answers

yes! That graph matches the equation

Answer:

yes

Step-by-step explanation:

y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.

Find the unit rates. 4 ounces for $5.89

Answers

Answer:

Around $1.47

Step-by-step explanation:

To find the unit rate you need to have a denominator of one. (5.89/4 = x/1)

All you have to do is divide 5.89 by 4 and you get 1.4725 and if you round that to the nearest 100th place you get 1.47.

So 1 once cost $1.47

I hope this helps, and have a great day!

Solve the system by substitution.


y = x - 8

y = 2x - 14


The solution is (_, _).

Answers

Answer:

x= 6

y= -2

Step-by-step explanation:

y = x-8........equation 1

y= 2x-14.......equation 2

Substitute x-8 for y in equation 2

x-8= 2x-14

x-2x= -14+8

-x= -6

x= 6

Substitute 6 for x in equation 1

y= x-8

y= 6-8

y= -2

Hence x = 6 and y is -2

Consider the system of liner equations 2y=X+10
3y=3x+15

Answers

The x-value is 0 and the y-value is 5

factor the expression using gcf 69 + 84

Answers

Answer:23/28

Step-by-step explanation:

69 + 84 = 23/28

if you divide it by 3

Find the interquartile range (IQR) of the data in the dot plot below.
goals
Luis's lacrosse scoring each season
43
45
46
47
48
Number of goals

Answers

Answer: According to the picture the IQR would be 3.5

Step-by-step explanation:

(x2 - 3)(x2 + 12) = 0

Answers

Answer:

x=1.7320508075688772 or x=−1.7320508075688772

Step-by-step explanation:

(x2−3)(x2+12)=0

x4+9x2−36=0

(x2−3)(x2+12)=0

x2−3=0 or x2+12=0

x=1.7320508075688772 or x=−1.7320508075688772

¿Cómo puedes escribir una ecuación de valor absoluto
para que el vértice esté en (-5, -7)?

Answers

Answer:

y = |x+5|-7

Step-by-step explanation:

y = |x| is the parent function with vertex (0,0) so to get to (-5,-7) you need to move left 5 and move down 7

The Jordan's Michael wanted were on sale for 20% off. The original price of the sneakers is $185.00. How much is the sale?​ Show your work

Answers

The price will be $148. $185 - 20% =$148.

Solve 1/2 x 3/4 *

A. 3/8
B. 4/6
C. 5/4
D. 4/8



Answers

Answer:

A

Step-by-step explanation:

Multiply the numerators together, then multiply the denominators together.

A is the answer to 1/2 times 3/4

Last year the girls basketball team had 12 fifth grade students and 3 sixth grade students what is the ratio of sixth grade students to total students on the team

(Include a answer in paper)

Answers

Answer:4:1

Step-by-step explanation: you have to find the unit rate ( how much for 1) so you set 3 to equal 1 and to do that you divide by three so you do that to the 12 also

The answer for your question will be...3:12

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