A student solved log4(2x – 12) = 3, as shown.
Step 1: 2x – 12 = 34
Step 2: 2x – 12 = 81
Step 4: 2x = 93
Step 5: x = 46.5
Explain the error and find the correct solution.

Answers

Answer 1

Answer:

The error is in Step 1. They translated from logarithmic to exponential form incorrectly.

The student should have used 4 as the base and 3 as the exponent. This would result in 64, not 81, on the right side of the equation.

The correct answer is x = 38.

Step-by-step explanation:

Answer 2

Answer:

The error is in Step 1. They translated from logarithmic to exponential form incorrectly.

The student should have used 4 as the base and 3 as the exponent. This would result in 64, not 81, on the right side of the equation.

The correct answer is x = 38.

Step-by-step explanation:

Step-by-step explanation:


Related Questions

PLEASE HELP I AM BEING TIMED!!

In the diagram how are angles AED and DEC related? choose all that apply

Options: They are vertical angles
They are supplementary angles
They are adjacent angles
They are right angles

Answers

Answer:

they are supplementary

Step-by-step explanation:

The angles AED and DEC are adjacent angles option (C) They are adjacent angles is correct.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that:

The diagram is shown in the picture.

As we can see in the diagram,

The angle AED and DEC are sharing a common vertex which means they are adjacent angles.

Thus, the angles AED and DEC are adjacent angles option (C) They are adjacent angles is correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

please help i’ll give brainliest

Answers

Answer:

9cm

Step-by-step explanation:

pls give brainlist lol thx

9 cm

As I said in my comment. I shall explain it.

Perimeter is the outside of a figure. So, to find that, you add the two given sides. Then, multiply it by 2 or add that number to itself.

3 + 1.5 = 4.5

4.5 + 4.5 = 9

Please help meeeeeeee with number 9

Answers

i think negative five

A school requires 2 computers for every 5 students. Write a proportion that gives the number c of computers needed for 145 students.
$$

Answers

uh hold on lol lololololol

Answer:

2/5 = c/145

Step-by-step explanation:

2/5 = c/145

Cross multiply

5c = 290

c = 58 computers needed for 145 students

An Electronics store has a TV on sale for $299. If the sales tax is 5.1%, what is the total cost of the TV? Round to the nearest cent. Use money notation to enter your answer.

Answers

Answer:

$314.25

Step-by-step explanation:

Answer:

$314.25

Step-by-step explanation:

First you would do 299 x 0.051 to get 15.249 dollars.

Then you would add that to your original 299 dollar value to get

314.249, but you have to round it up to get $314.25 :D

YOU WILL BE BRAINLEST Question 12
Determine if the sequence is arithmetic.
-8,-4, 0, 4, 8, 12......
O True
h
False

Answers

Answer False

Yeah I correct

Can y’all help me??!

Answers

Answer:

c=18.50h+20

Step-by-step explanation:

Anyone knows how to do this?!

Answers

Answer:

nope. Maybe...find the angle? hey you said anyone know how to do this so this is my answer. nope. but I gave you a guess how to do this.

Step-by-step explanation:

O_O?

Amino acids are used to build _______?

Answers

Answer:

Polypeptides

Step-by-step explanation:

A sequence of amino acids are joined together by peptide bonds to form a polypeptode chain;

This chain then folds and twists (via intramolecular forces/attractions) into a 2D or 3D shape and may even join with another polypeptide chain to form a protein.

Val is making curtains she has a roll of ice that is 2.5 m long she cuts off a length of lace 0.9 long . How much lace is left on the roll?

Answers

Answer:

1.6

Step-by-step explanation:

2.5-0.9=1.6

i released a question and nobody found it for the weird name
my fault
pls help B)

Answers

This ain't an answer but if you look up mixed number calculator soup it's really helpful

Make sure you write fractions as 2 4/9

Answer:

3 3/11

Step-by-step explanation:

8                         22                 8      x       9           72

_     divided by    _      =          __________    =   __

1                           9                   1      x       22         22

If you simplify 72/22, you will get 3 3/11

Hope this helps :)

Have an awesome day :D

pls answer with all work down below

Answers

Answer:

70

Step-by-step explanation:

the smaller box hold 1280

and the biger one  1350

Answer:

70 more than the samller one

the bigger one can 1350 and the  smaller one can hold   1280

Step-by-step explanation:

A hyena can run one over four of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in miles per hour? (5 points)

one-fourth mile over twenty-two point five seconds = 40 miles per hour
twenty-two point five seconds over one-fourth mile = 40 miles per hour
one-fourth mile over twenty-two point five seconds = 90 miles per hour
twenty-two point five seconds over one-fourth mile = 90 miles per hour

Answers

200 miles in total?

unless the stuff you have down there is useless

Give an ordered pair on the graph and explain it’s meaning in the real world context.

Answers

Step-by-step explanation:

See my attached graph for what this problem looks like. I used the equation y=5x because each bargain DVD (x) is $5 and equals the total cost (y).

One ordered pair would be (1,5). This means that 1 bargain DVD costs $5.

I hope this helps!

If you have 20 apples and you give 10 of them away how much apples would you have?.

Answers

Answer:

you would have 10 apples I'm pretty sure lollll

Question 1 The first who answer it will get a brainliest answer.

Answers

Answer:

synthetic fibers are more durable than most natural fibers and will readily pick-up different dyes. In addition, many synthetic fibers offer consumer-friendly functions such as stretching, waterproofing and stain resistance. Sunlight, moisture, and oils from human skin cause all fibers to break down and wear away.

Matthew is going to invest in an account paying an interest rate of 5.5% compounded monthly. How much would Matthew need to invest, to the nearest ten dollars, for the value of the account to reach $221,000 in 17 years?

Answers

Answer:

P=86950

Step-by-step explanation:

A=P(1+r/n​)^nt

Compound interest formula

A=221000

t=17

r=0.055

n=12

Heyyy Friends!! Whats 9+(1*1)+6=??

Answers

Answer:

16 :)

Step-by-step explanation:

Molly invested $50,000 in various stocks and bonds. She earned 15% on the bonds and 18% on the stocks. Molly's total profit on both types of investments was $8700, how much of the $50,000 did she invest in bonds?

Answers

Answer:

$10000

Step-by-step explanation:

Given that:

Molly invested $50,000 in various stocks and bonds.

She earned 15% on bonds and 18% on stocks

Let the bonds be denoted by a

However, her profit on both types of investment is said to be $8700

We are to find how much of the $50,000 did she invest in bonds.

i.e

0.15a + 0.18(50000-a)  = 8700

open brackets

0.15a + 9000 - 0.18a = 8700

Collect like terms

0.15a - 0.18a = 8700 - 9000

-0.03a  = -300

Divide both sides by(-0.03); we get

a = 10000

Thus, Molly invested $10000 in the bonds.

please answer i will give you brainiest please answer asap!!!!!!!!!!
answer both spots and i will give you 5 stars and a thank you and brainlest please ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

 1. (y-18 >x-13)

2 . x-18>y-13

Step-by-step explanation:

Answer:

1. (y-18 >x-13)

2 . x-18>y-13

Step-by-step explanation:

What food should be included on Thanksgiving?!?!!?
(ik it's not a math question but who cares)

Answers

Answer:

macaroni, ham, gravy, dressing, potato salad, sweet potato pies, pecan pie, collard greens, turkey

Step-by-step explanation:

Jordan can make 18 cupcakes (the y-value) with one cup of flour (the x value). How many cupcakes can he make with 5 cups of flour?

Answers

Answer:

90

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

Erika and Bradley want to hike the Big Cypress Trail. They will hike a total of 72 milles FErika and Bradley want to hike 16 miles each day, how many days will they hike exadty 16 miles? They will hike exactly 16 miles each day for days.

Answers

Answer: They will hike exactly 16 miles each day for 4 days.

Step-by-step explanation:

Given: Total distance to hike = 72 miles

They hike 16 miles per day.

Total days they will take to complete the distance = [tex]\dfrac{\text{Total distance to hike}}{\text{Distance hiked each day}}[/tex]

[tex]=\dfrac{72}{16}\\\\=\dfrac{9\times8}{2\times8}=\dfrac92\\\\=4\dfrac12[/tex]

It will take 4 complete days and a half day to complete the journey.

i.e. They will hike exactly 16 miles each day for 4 days.

add me on rublux my user is punishmeant

Answers

okay, i'll add you rn :))

Find the length of the unknown side. Round your answer to the nearest tenth.

O 16.5
O 17.5
O 18.5
O 22.0

Answers

17.5

Explanation:

So if we use the formula a^2+b^2=c^2

We would fill it in as 4^2+b^2=18^2
Then solve

16+b^2= 324

Then subtract 16 from both sides

B^2 = 308

Then you find the square root of 308

17.5

Maria deposited $5,700 in an account that earns 8% simple interest. Maria made no withdrawals or deposits. What will be the total amount of money in her account after 6 years?

Answers

Answer:

The total amount of money in Maria's account after 6 years is $8436

Step-by-step explanation:

Given;

principal amount , P = $5,700

interest rate, r = 8 % = 0.08

time of investment, t = 6 years

The interest on the invested money after 6 years is given by;

I = Prt

I = $5,700 x 0.08 x 6

I = $2736

Total amount in Maria's account is given by;

A = P + I

A = $5,700 + $2736

A = $8436

Therefore, the total amount of money in Maria's account after 6 years is $8436

10x+5y=30

solve in the following format

(x,y)

Answers

Is 2x + y -6=0

Check the picture:

Solve the inequality 2x−y⩾−5 for y. Which inequality represents the inequality in slope-intercept form?

Answers

Answer:

[tex]y\leq 2x+5[/tex]

This represents slope intercept form: y = mx + b

Step-by-step explanation:

[tex]2x - y \geq -5\\2x+5\geq y[/tex]

Bryce grows at a rate five times as fast as Drew which algebraic equation best represent Bryce growth rate

Answers

Answer:

B = 5D

Step-by-step explanation:

B stands for Bryce, & D stands for Drew.

PLEASE ANSWER FAST
given f(x) and g(x) = f(x + k) use the graph to determine the value of k

Answers

answer:
g(x) = f(x+6)
x = 6

step-by-step explanation:
given:
g(x) = f(x+k)

if value of k > 1 then the graph shifts k units to the left.
if value of k < 1 then the graph shifts k units to the right.

from the graph, it is clear that the function g(x) has moved 6 units (-4 to -10) to the left of f(x). this shows that the value of k > 1 and it is = 6 units

thus the transformation rule can be given as:
g(x) = f(x+6)
k = 6
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