logb(x-1) + logb(x+2) = logb(8-2x)

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:

(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work


Related Questions

What is the slope of the equation Y= 5/4 x - 7/4?

a. -7

b. -7/4

c. 5/4

d. 5

Answers

Answer:

a

Step-by-step explanation:

Answer: c

Step-by-step explanation:

The mean test scores with standard deviations of four English classes are given below. Class Mean Standard Deviation Mrs. Jones 89 1. 9 Mrs. Rijo 82 1. 4 Mr. Phan 73 3. 4 Mrs. Scott 90 6. 1 Which statement is most likely to be true? The scores of Mrs. Scott’s class are the closest to the class mean. The scores of Mr. Phan’s class are the closest to the class mean. The scores of Mrs. Jones’s class are the closest to the class mean. The scores of Mrs. Rijo’s class are the closest to the class mean.

Answers

Answer:

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

The scores from Mrs. Rijo’s class are the closest to the class mean.

If the Diameter is 10 of a circle then what is the radius.

Answers

Answer:

5

Reasoning

[tex]Diameter=2*radius[/tex]

Answer:

5

Step-by-step explanation:

the radius is always half of the diameter

Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home

Answers

Step-by-step explanation:

   4    +       3 = 7

petra   robyn    total

  210     /   7          =30

wage     total

              ratio

30× 4  = $120

     Petra's part

30× 3  =  $90

      Robyn’s part

help me please

Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.

Answers

First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.

Given the expression

[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]

In order to simplify, note that the numerator and denominator of the fraction

[tex]\frac{(2r^2t)^3}{4t^2}[/tex]

have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.

To clear the numerator's bracket, note that

[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]

that was long. The shorter way was to do the following

[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]

so back to the original question, to simplify

[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]

we would do

[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]

Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms

[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]

Learn more here: https://brainly.com/question/1382660

The area of the pilgrims cornfield is 6,396 square feet. The width of the cornfield is 52 feed. What is the length of the cornfield? Show your work

Answers

Based on the area of the field and the width as well, the length is most likely 123 feet.

The area of the cornfield is calculated as:

= Length x Width

You have the width so you can substitute it in the equation to find the length:

6,396 = Length x 52

Solving would give:

Length = 6,396 / 52

= 123 feet

In conclusion, the length is 123 feet.

Find out more at https://brainly.com/question/20183786.

Fully Factorise : 8x^2+6x

Answers

Answer:

2(4+3) or undefined

Step-by-step explanation:

lmk if this helped

HELP WOULD BE APPRECIATED

Answers

Answer:

For the second one would be 36°

Translate the following phrase into an inequality:


"A number n minus 3.5 is less than or equal to 4."

PLEASE HELP I HAVE 6 MATH MISSING ASSIGNMENTS, I HATE HIGH SCHOOL

Answers

Answer:

The term "at least" means the lowest number you can have. In other words, you cannot have a number less than that point. So we use the greater than or equal symbol.

x - 3 ≥ - 5

Add 3 on both sides of the inequality.

x ≥ -2

x is any number greater than or equal to -2.

If the term was "at most", then that is the highest number you can have, and you can go no higher than that. In this case, we would have used the less than or equal to symbol.

These terms are important to understand when working with inequalities.

The value of the inequality form of the phrase "A number n minus 3.5 is less than or equal to 4." is (n - 3.5) ≤ 4 .

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that;

The phrase is,

"A number n minus 3.5 is less than or equal to 4."

Now it can be written in inequality form as,

(n - 3.5) ≤ 4

Therefore, the inequality is,

(n - 3.5) ≤ 4

To learn more about inequality visit:

https://brainly.com/question/25944814

#SPJ3

what is the point slope equation of the line that passes through (9,-1) and has a slope of 5

Answers

Answer:

y=5x+46

Step-by-step explanation:

apply point

-1=5(9)+n

-1=45+n

n=-46

y=5x+46

Answer:

y + 1 = 5(x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = 5 and (a, b ) = (9, - 1 ) , then

y - (- 1) = 5(x - 9) , that is

y + 1 = 5(x - 9)

How does simple
interest show proportional reasoning and
relate to the percent equation?

Answers

Answer:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Step-by-step explanation:

Evaluate.
-|4ab- cl for a = -6, b = 3, and c = 2
A -74
B -70
C 70
74

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{-|4ab - c|}}\\\large\boxed{\mathsf{= - |4(-6)(3) - 2|}}\\\large\boxed{\mathsf{= -|(-24)(3) - 2|}}\\\large\boxed{\mathsf{= -|-72 - 2|}}\\\large\boxed{\mathsf{= - |-74|}}\\\large\boxed{\mathsf{= |-74|}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A. -74}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\large\boxed{\heartsuit\ \frak{Amphitrite1040:)\ }\heartsuit}[/tex]

please help me out yall!!​

Answers

Answer:

c

Step-by-step explanation:

whats the answer (10 points)

Answers

Answer:

x=79 degrees y=22degrees

Step-by-step explanation:

you see it has 2 equal sides, so the triangle is an isosceles triangle. If the triangle is isosceles, then its 2 base angles are equal, that is, x = 79 according to the triangle property, the 3 angles add up to 180 degrees, so you take 180 degrees minus 2 * 79 degrees you get a y angle equal to 22 degrees

PLEASE I NEED HELP!! Due TODAY!!!!! I need someone who is actually good at this!!

Answers

Answer:

#8= B

#6= C

#7= D

#9= C

#10= A

Step-by-step explanation:

[First one, aka #8] c

- subtract 7x from both sides

- divide by 5

- slope is m is y = mx + b

[Second one, aka #7] is d

- subtract 2x from both sides

- divide by 5

- find the negative reciprocal

[Third one, aka #6] is c

- will have a slope of 2 since it is parallel

- plug the point into y = 2x + b and solve for b

[Fourth one, aka #9] is a

- change in d over change in c

- 29 - 20 / 6 - 0 = 9/6 = 3/2

[Fifth one, aka #10] is b

- I created the system:

2h + m = 2.85

3h + 2m = 4.45

- Because he had two hotdogs (2h) and one milk (m), and then 3 hotdogs (3h) and 2 milk (2m) so option b matches the best

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Which of these reasons would John not need to use in his proof

Answers

there’s no options shown on my screen, sorry, if you’re able to reupload ill gladly help

rewrite the expression as a single fraction 3/8 + 1/8

Answers

Answer:

Step-by-step explanation:

3/8+ 1/8 = 4/8

10000+2000003
ghsrhrs

Answers

[tex]⇒10000 + 2000003 = 2010003[/tex]

- BRAINLIEST answerer

Answer: 2010003

Step-by-step explanation: because 10000+2000003= 2010003

Shane is an a baseball team. He averages 6 hits in 30 times at bat. How many hits should you expect him to have after 180 times at bat

Answers

Answer = 36

30 x 6 = 180
6 x 6 = 36

The price of a cinnamon roll is $2.00. The bakery has a sale, and all prices are 10% off. What is the sale price of the cinnamon roll

Answers

Answer: $1.80

Step-by-step explanation:

10% is 1/10. To find 1/10 of $2 we must divide it by the bottom of the fraction and times the top. 200 divided by 10 is 20 cents, times that by 1 is still 20 so, 10% = 20 cents. To find the sale price, we must subtract the discount from the original price. $2 - 20 cents is $1.80.

In the element above the mass number is_____ and the atomic number is _____
Blank 1?
Blank 2?

Answers

Mass number is 14

Atomic number is 6

help me please I don't wanna fail his ​

Answers

D I think I have not done that in a long time
answer; c
explanation;
if 3 | 3 = 3.3, then the line must mean that the | is a decimal point.
so for 1 | 88 , the line is the decimal point so it should be 1.88.
same explanation for the rest, 2 | 025 = 2.025, 3 | 0115 = 3.0115

stteps for solving 6(4x-3) are shown

which of these is not a part of the solution prosess

Answers

Answer:2 4  −  1 8

Step-by-step explanation:

2. What is the exchange rate? Show your work. 1 US dollar = ___________ euro
help pls :(

Answers

Answer:

.88 Euro

Step-by-step explanation:

One U.S. dollar is equivalent to .88 Euro. Have a nice day!

m divided 6 when m=48

Answers

[tex]\dfrac m 6 = \dfrac{48}6 = \dfrac{ 8 \times 6}6 = 8[/tex]

How much money should Annika give Susan?

Answers

Answer:

it depends on how much Annika has and if she is willing to give Susan money

Step-by-step explanation:

I could have answered properly but i do not understand the question it just states that, look below

How much money should Annika give Susan?

plzzzz help me!!!



Plz don't steal my points or add a link​

Answers

Answer: What do you mean? if you till me i can help you

Step-by-step explanation:

-14 + -8/9 is equivalent to?

Answers

equal in force, amount, or value also : equal in area or volume but not superposable a square equivalent to a triangle. 2a : like in signification or import. b : having logical equivalence equivalent statements. 3 : corresponding or virtually identical especially in effect or function.

Please help and no links

Answers

Answer:

B) y=3x

Step-by-step explanation:

2 x 3 = 6

3 x 3 = 9

4 x 3 = 12

You can find y by multiplying the x by 3. The relationship between the x and y is proportional. For example, lets say my x is 20, my y would be 60. 20 x 3 = 60.

If you are still unsure, remember constant of proportionality is k=y/x, so your constant is 3.

Do these pairs of values (x 3,4,6,9,and y 5,7,10,15) represent two quantities that are propertional? A. No, becuase not all of the pairs represent the same ratio. B.....

Answers

Answer:  No.

Step-by-step explanation:

The (4,7) point has a ratio of 0.5714, different than all the others at 0.6.

3 5 0.6

4 7 0.571428571

6 10 0.6

9 15 0.6

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