is there an error in the work and is the answer extraneous? if so why?​

Is There An Error In The Work And Is The Answer Extraneous? If So Why?

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

log₃[1 + log₃(2ˣ - 7)] = 1

log₃[1 + log₃(2ˣ - 7)] = log₃(3)

1 + log₃(2ˣ - 7) = 3

log₃(2ˣ - 7) = 2

log₃(2ˣ - 7) = log₃(3)²

2ˣ - 7 = 9

2ˣ = 9 + 7

2ˣ = 16

2ˣ = 2⁴

x = 4

By putting x = 4 in the original equation,

log₃[1 + log₃(2⁴ - 7)] = 1

log₃[1 + log₃(16 - 7)] = 1

log₃[1 + log₃(9)] = 1

log₃[1 + log₃(3)²] = 1

log₃[1 + 2] = 1

log₃[3] = 1

1 = 1

Therefore, x = 4 is not the extraneous solution and there is no error in your answer.


Related Questions

PLEASEEEEEEEEEEEE HELPOPPBMEEEEE

Answers

Answer:

The answer is 7.14

Step-by-step explanation:

good luck

solve for x

x- 5/3=1​

Answers

Answer:

x = 8/3 or 2 2/3

Step-by-step explanation:

x - 5/3 = 1

x - 5/3 + 5/3 = x

1 + 5/3 = 8/3 or 2 2/3

x = 8/3 or 2 2/3

Answer:

x = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

x - [tex]\frac{5}{3}[/tex] = 1 ( multiply through by 3 to clear the fraction )

3x - 5 = 3 ( add 5 to both sides )

3x = 8 ( divide both sides by 3 )

x = [tex]\frac{8}{3}[/tex]

Product Rule states: keep the base the same and do this to the exponents. Your
A). answer
B). multiply
C). subtract​

Answers

Answer: B multiply

Step-by-step explanation:

Which one of these represents the graph in this picture right here ? A,B,C,D,E or F?
PLEASE HELP

Answers

Answer:

A) y=3x+1

Step-by-step explanation:

Use the formula y=mx+b

m is the slope and b is the y intercept

the graph starts on 1 on the y axis so you replace 1 for b

the slope goes up 3 and over one, giving the fraction 3/1 or just 3. so you replace 3 for m.

Solve: please, THANKS

Answers

Answer:

20/21

Step-by-step explanation:

have a nice day or evening

URGENT HELLLLPPP!!!!!!!!

Answers

Answers:
1. A.Complementary
2. C. Neither
3. B. Supplementary
4. Z= 128

Why?
The angles for #1 equal 90. For 2 it is not either option. 3 equals 180 and for 4 is 180-52 and you get 128

Dr. Howser recently purchased two new fish tanks (Tank A and Tank B) to place in the waiting area of his office. Each fish tank holds exactly 120 gallons of water. Tank A will hold small fish and Tank B will hold large fish. Dr. Howser plans on buying 3 small fish for every 10 gallons of water in Tank A. He plans on buying 6 large fish for every 40 gallons of water in Tank B.

Answers

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Evaluate 11.3v + 10.7w when v=7 and w=8

Answers

Answer:

11.3(7)+10.7(8)=79.1+85.6

=164.7

please help me and show your work ill mark you brainliest

Answers

Answer: there is no solution

Step-by-step explanation: 1/4z — 13 is not the same as 1/4 + 13

Say z = 1 that would simplify as -12 3/4 = 13 1/4 they are not the same so there is no solution

what is 2x-6=16
please help

Answers

2x-6=16
2x=16+6
2x=22
X=22/2
X=11

Answer:

x=11

Step-by-step explanation:

step 1- add 6 to both sides

2x-6+6=16+6

step 2- divide both side by 2

2x/2 22/2

x=11

I suggest using a calculator called Math Papa that's what I use for equations

NEED HELP FAST!! A line has a slope of -3 and a y-intercept of 5. Write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation.

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=-3x + 5 tells us that the slope of the line is -3 and the y-intercept is at (0,5). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Please tell me the answer!! I NEED IT NOW ILL GIVE 20 points PLEASE!!

Answers

Answer:

i pretty sure its the last one

Step-by-step explanation:

Answer:

what chu say?

Step-by-step explanation:

What is an equation of the line that passes through the point (2, 2) and is parallel to
the line x -
2y = 4?

Answers

Answer:

you wold have to graph it just put it in the caculater like that

Step-by-step explanation:

Answer: y- 2 = -1/2(x - 2)

Step-by-step explanation:

We need to rewrite it as y=mx+b.

x - 2y = 4

    2y = - x + 4

       y = -1/2x + 4/2

        y = -1/2x + 2

The slope for x - 2y = 4 is -1/2.

In addition, the slope of two parallel line would be the same, the slope of the line that pass through the point (2,2) would be -1/2.

y- y1 = m(x- x1)

y- 2 = -1/2(x - 2)

25. Multi-A carpenter is making a tray to fit between two circular pillars in the shape of the shaded area as shown. She is using a jigsaw to cut along the edge of the tray. What is the length of the cut encompassing the tray? Round to the nearest half foot.

Answers

Answer:

21.5 feet.

Step-by-step explanation:

Calculate the length of a curved edge.

s =  

m

360

  · 2πr Use the formula for arc length.

=  

90

360

  · 2π(3) Substitute 3 for r and 90 for m.

= 1.5π Simplify.

Let t be the length of the cut encompassing the tray.

t = 2 · 1.5π + 2 · 6

= 3π + 12 Simplify.

≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.

The length of the cut encompassing the tray is 21.5 feet.

Are my answers for the conditional statement correct? I would just like to check them and if they're incorrect, could you let me know how to fix them? Thank you.


Statement: If I brush my teeth twice a day, then I will not get cavities.


Inverse: If I don't brush my teeth twice a day, then I will get cavities.
Truth Value: True

Converse: If I don't get cavities, then I am brushing my teeth twice a day.
Truth Value: True


Contrapositive: If I get cavities, then I am not brushing my teeth twice a day.
Truth Value: True

Answers

Statement: If p, then q

Inverse: If q, then p

Converse: If not p, then not q

Contrapositive: If not q, then not p.

We can see from the statement that p = brush teeth twice a day and q = not get cavities.

Thus:

Inverse: If I don't get cavities, then I brush my teeth twice a day. FALSE (for example, I might floss extra well instead. Brushing my teeth twice a day is not the only way to avoid cavities)

Converse: If I don't brush my teeth twice a day, then I get cavities. FALSE (for example, I might not eat a lot of sugar and thus I don't get cavities)

Contrapositive: If I get cavities, then I did not brush my teeth twice a day. TRUE

If this confuses you, try the example of p = cat and q = four legs. (i.e. the statement is If this is a cat, it has four legs). Try making the inverse, converse, and contrapositive, and see the truth of those statements.

Which could be an appropriate description? (A. the circumference of a circle in square inches) (B. the lateral area of a cylinder in meters) (C. the rate of gasoline consumption in gallons) (D. the volume of a cone in cubic feet)

Answers

Answer:

(D. the volume of a cone in cubic feet)

Step-by-step explanation:

A should be inches, not square inches

B should be square meters, not meters

C should be miles per gallon (or KM per gallon), not just gallons

Find the solution set of the inequality
8x−8≤−72.

Answers

Answer:

x≤-8

Step-by-step explanation:

When solving 8x-8≤-72, first add 8 to both sides of the inequality.

This leaves you with 8x≤-64.

Divide both sides by 8: 8x/8 and -64/8

This leaves you with x≤-8 as your solution.

If a 18 ft tall tree casts a 9 ft long shadow
then how tall is an adult giraffe standing near it that casts a 7
ft shadow?

Answers

Answer:

[tex] \boxed{ \tt{the \: adult \: giraffe \: is \to \: 14 \: ft}}[/tex]

The height of the giraffe standing near it which casts a shadow of 7 feet is 14 feet.

What is Scale Factor?

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

Actual height of the tree = 18 feet

Height of the shadow = 9 feet

Actual height = 2 × Shadow height

So, here the scale factor is 2.

Given Shadow height of the giraffe = 7 feet

Actual height of the giraffe = 2 ×  height of shadow of the giraffe

                                             = 2 × 7 feet

                                             = 14 feet

Hence the height of the giraffe is 14 feet.

Learn more about Scale Factor here :

https://brainly.com/question/30215119

#SPJ2

Write an equivalent expression to
3² x 15 x 54

Answers

Equivalent Expression: 9x + 15x = 54

Step-by-step explanation:

First, yo would do 3^2 which is 3 times 3 equals 9.

So, it would be 9x + 15x = 54

Then, you combine like terms, 9x + 15x

So 9+15= 24x

Last, would be 54 = 24x

divide by 24 onto both sides and then x will be by itself and then it will give you an answer.

Answer: 2.25

someone pls help thank you so much if you do!!

Answers

I think that its 80% not sure tho

A cut is made to the shape shown below at an angle from the top of the shape to the base of the shape. What is the shape of the cross
section that results from the cut?
A square
B. parallelogram
C. rectangle
D. triangle

Answers

Answer:

square

Step-by-step explanation:

why is this labeled high school this is so simple

Kristy rides 6 miles on her bicycle in 40 minutes. Jax rides 4 miles on his bicycle in 30 minutes?

Answers

she travels a mile in 6.6 minutes and 30/4 is 7.5. 6.6 repeating is lower than 7.5 which means it is faster.

Consider Functions F and G

Answers

Answer:

A

Step-by-step explanation:

We are given two functions:

[tex]\displaystyle f(x)=\frac{x-16}{x^2+6x-40}\text{ and } g(x)=\frac{1}{x+10}[/tex]

And we want to find:

[tex]f(x)+g(x)[/tex]

Thus:

[tex]\displaystyle =\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}[/tex]

We can factor the denominator of the first term:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}[/tex]

In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\Big(\frac{x-4}{x-4}\Big)[/tex]

Multiply:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{x-4}{(x+10)(x-4)}[/tex]

Combine:

[tex]\displaystyle =\frac{(x-16)+(x-4)}{(x+10)(x-4)}[/tex]

Simplify:

[tex]\displaystyle =\frac{2x-20}{(x+10)(x-4)}[/tex]

We can expand the denominator:

[tex]\displaystyle =\frac{2x-20}{x^2+6x-40}[/tex]

Therefore, our answer is A.

Answer:

A

Step-by-step explanation:

Find the surface area of the regular pyramid.
14 cm
11 cm

Answers

Answer: you on this to

Step-by-step explanation:

can someone help me, with this problem, I really need the procedure ​

Answers

Answer:

In which standard u are???

Step-by-step explanation:

Of which chapter is it???

subtract 8xy+3 from 15xy +9​

Answers

Answer:

7xy + 6

Step-by-step explanation:

=> here's your solution

=>. we need to subtract (8xy + 3) from

( 15xy +9 )

=> (15xy + 9) - ( 8xy + 3)

=>. 15xy + 9 - 8xy - 3

=> 15xy - 8xy + 9 - 3

=>. 7xy + 6

hope it helps

Solve to find the value of x.

Answers

Answer:

x=12

Step-by-step explanation:

We know that a right angle is 90 degrees. So we can make the equation [tex]35+4x+7=90.[/tex] Now, we can solve fore X! We can combine 35 and 7 to make the equation [tex]4x+42=90[/tex]. In order to isolate x we have to subtract 42 from both sides, getting us the equation [tex]4x=48.[/tex] Now, in order to isolate x we must divide each side by 4, getting us the equation [tex]12=x[/tex].  To prove that x=12, we can subsitute x for 12.  This means that we can do [tex]35+4(12)+7=90. Or, 35+48+7 =90,[/tex] which simplified, is 90=90, making x=12 true. Hope this helps :)

Identify the coefficients in the expression 4a + 15-3k *

Answers

coefficients are basically numbers in front of the variable...
4 is the coefficient in 4a and 3 is the coefficient in 3k

The length of the guy why supporting a cell tower is 120 m the guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?

Answers

Complete Question

The length of the guy wire supporting a cell tower is 120 m. The guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?

Answer:

89.44m

Step-by-step explanation:

We solve this question using the Pythagoras Theorem

This is given as:

Hypotenuse² = Opposite ² + Adjacent ²

Hypotenuse = Length of the guy wire = 120m

Adjacent = Distance from the base of the tower = 80m

Opposite = Height of the building = x

Hence:

120² = x² + 80²

Collect like terms

x² = 120² - 80²

x = √120² - 80²

x = √(8000)

x = 89.4427191 m

Approximately the height of the tower is = 89.44m

If the diameter of the tennis ball is 2.6 inches, what is its circumference, in inches?

Answers

Answer:

8.164

Step-by-step explanation:

The circumference of the ball is 8.164 inches.

Calculation of the circumference:

Since the diameter of the tennis ball is 2.6 inches

So here the radius should be half i.e. 1.3 inches

Now we know that

Circumference = [tex]2\pi r\\\\[/tex]

= 2(3.14)(1.3)

= 8.164 inches

Therefore, we can conclude that The circumference of the ball is 8.164 inches.

Learn more about circumference here: https://brainly.com/question/15673093

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