Solve.
log 3 + log x - log(x + 1) = log 2
Please please help

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

Given the equation as;

log 3 + log x - log(x + 1) = log 2

collect like terms

log x - log(x + 1) = log 2-1og 3

Re-write the equation by applying laws of logarithms in that when you subtract logs you divide the numbers/terms. This will give

log [ x / x+1 ] = log [2/3]

Cancel log on both sides to remain with;

x/ x+1 = 2/3

Apply cross-product

3{x} = 2{x+1}

3x = 2x + 2

3x-2x = 2

x = 2


Related Questions

Most complicated and written out explanation for 1 plus 1 can get 20 points and brainliest.

Answers

Answer:

looking at the equation one plus one we see there can be many answers for example we can take one plus ine and change it to a number of different questions including but not limited to 1+1 1-1 1/1 1x1 1^1 etc looking at other results we can then determine tat 1+1=2 all though alternative answers could be present

Step-by-step explanation:

Sid made 60% of the free throws that he attempted. If he attempted 40 free throws at basketball practice, how many did he make?

Answers

Answer:

iON know

Step-by-step explanation:

-5x + y = -1x
10x - 2y = 2

Answers

Answer: Below is the first one

Step-by-step explanation: Second one is right here x=1/5+y/5

A bag contains 2 red,5 blue,6 yellow, and 3 green crayons. What is the probability of selecting a red crayon, then without replacing it selecting an odd number that is (red, then green)
A.0
B.0.25
C.01
D.0.025

Answers

Answer: D.0.025

Step-by-step explanation:

Given: A bag contains 2 red,5 blue,6 yellow, and 3 green crayons.

Total crayons: 2+5+6+3=16

Probability of getting red crayon= [tex]\dfrac{\text{Number of red crayons}}{\text{Total}}[/tex]

[tex]=\dfrac{2}{16}=\dfrac18[/tex]

Without replacement, the probability of getting green crayon = [tex]\dfrac{\text{Number of green crayons}}{\text{Total}-1}[/tex]

[tex]=\dfrac{3}{15}=\dfrac15[/tex]

Required probability P(red then green)= [tex]\dfrac18\times\dfrac15=\dfrac1{40}=0.025[/tex]

Hence, correct option is D.0.025

The dot plots below show the number of sales made by Jason and Shane at work over the past seven days.

WHICH OBSERVATION ABOUT THE DATA SETS IS CORRECT?

Answers

Answer:

Step-by-step explanation:

The answer is d because Shane’s is uniform and has outliers

The length of the missing side is: ?m

Answers

Answer:

85 ft

Step-by-step explanation:

for all right triangles, triangles with a 90 degree angle, the sides are equal to [tex]a^{2} + b^{2} = c^{2}[/tex] where c is the hypotenuse, or the longest side.

so... [tex]40^{2} + 75^{2} = c^{2}[/tex]

[tex]7225 = c^{2}[/tex]

c= 85

An average Smart TV costs $500. On Black Friday, the Smart TV goes on sale for $350. By what percent did the
TV go on sale?

Answers

Answer:

30%

Step-by-step explanation:

$500-$350=150

150/500 x 100

=30%

Write an equation that represents the line.

use exact numbers.​

Answers

Answer:

y = - 1/2x - 3.5

Step-by-step explanation:

Can you find the y=mx+b?

Answers

Answer:

y=-2x+7

Step-by-step explanation:

Slope is y(2)-y(1)/x(2)-x(1)

I chose (1,5)(0,7) as my two points and got -2 as my slope

Then, I got (0,7) as my y-intercept because it was in the table.

So, the equation is y=-2x+7

(hope this helps :P)

I need help on this please n-5>-2

Answers

Answer:

I think that it is n<3

Step-by-step explanation:

I need help solving these two questions
3x-5x=0
x-5x=-10

Answers

Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

-2x=0

x=0/-2

x=0

-4x=-10

x=-10/-4

x=5/2

What is the approximate diameter of a sphere with a volume of 268 cm3?

A. 4 cm

B. 8 cm

C. 12 cm

D. 16 cm​

Answers

Answer:

B. 8cm

Step-by-step explanation:

radius = 4cm

volume = 4/3 π r³

volume = 4/3 *3.14 *4³ (π = 3.14)

volume = 268cm³

hope it is help you

If the radius of a circle is 22.5 inches, what is the diameter?

Answers

Answer:

d = 45

Step-by-step explanation:

d = 2r

d = 2× 22.5

d = 45

Answer:

if the radius of a circle is 22.5 inches what is the area of the circle

Parker's dog will be having four puppies. Parker performs a
simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy

Answers

Answer:

7/10 70%

Step-by-step explanation:

based on the coin flips, 7 out of 10 of the results have at least 2 female puppies. I hope this is correct :)

Answer: A

Step-by-step explanation: took the quiz and got it right

A plumbing company charges a $95 fee for each job, plus $65 foreach hour that the job lasts. The expression 65h + 95can be used to calculate the cost of a job in dollars, where hrepresents the number of hours the job takes to complete. Part A.What is the cost of a job that lasts 1.5 hours?

Answers

Answer:

the answer would be 160H

The cost of a job that lasts 1.5 hours is  $ 192.5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The charge of each job by the plumbing company = $ 95

The charge on each hour for each job = $ 65

The equation for the cost of a job is = 65h + 95

where h is the number of hours for the job

Now , to calculate the cost of job that lasts 1.5 hours ,

substitute the value of h as 1.5

And , the equation becomes

= 65h + 95

= 65 ( 1.5 ) + 95

= 97.5 + 95

= $ 192.5

Hence , the cost of a job that lasts 1.5 hours is  $ 192.5

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ3

Select three ratios that are equivalent to 4:18

Answers

Answer:

B, E

Step-by-step explanation:

2:9 is the simplified ver. of 4:18

8:36 is 2x 4:18

(NOT C: Included because the order does matter and this is a common mistake.)

Answer:

2:9 and 8:36 are the two ratios that are equivalent to 4:18

(ONLY MY FRIENDS RESPOND) What is the Area of a square if it has L= 32cm and W= 20cm?
(Heres a re-made thing for my friends, sorry for the rushed handwriting, I had to do it before my mom saw, hope u guys can read it)

Answers

Answer:

640

Step-by-step explanation: and wow

Please help please!!

Answers

The answer is 15 which is letter D
The answer is D. Which is 15

Can someone help me (7th grade science) need to be done as soon as possible

Answers

Answer:

oouu I'm in 7th grade science and I already did this I can help!

The perimeter of the equilateral triangle shown below is 67.5 inches. Write and solve an equation to find the value of x.

Answers

i would but i need the picture

I just need the visuals to answer 67.5 is not enough to answer

HELP ASAP I WILL GIVE BRAINLYYYY
Priscilla is drawing a map of her school that uses a scale in which 1.5 cm on the map represents 3 feet. If the first hallway has a length of 120 feet, what should the length of the hallway be on the map?
1 point
a. 40 cm
b. 60 cm
c. 30 cm
d. 45 cm

Answers

Answer: 60 cm

Step-by-step explanation: The conversion from 1.5 cm to 3 feet or 91.4 cm is 60.9 and 120 feet or 3657.6 cm divided by 60.9 is 60 cm so therefore the length of the hallway on the map should be 60 cm

Eiman borrowed $8000 at a rate of 14.5%, compounded semiannually. Assuming she makes no payments,
how much will she owe after 6 years?
Do not round any intermediate computations, and round your answer to the nearest cent.?


Answers

Answer:

1,717,351cents

Step-by-step explanation:

Using the compound interest formula

A = P(1+r/n)^nt

P = 8000

r = 14.5% = 0.145

n = 6/12 = 1/2 (semi annually)

t = 6years

Substitute

A = 8000(1+ 0.145/0.5)*(0.5)(6)

A = 8000(1+0.29)^3

A = 8000(1.9)^3

A = 8000(2.146689

A = 17,173.512

Hence the amount owned to the nearest cent is 1,717,351cents

The length of a rectangle is eight more than twice it's width. the perimeter is 96 feet. find the dimensions

Variables:


equation:



Solution:​

Answers

Answer:

the length and width be 13.33 feet and 34.67 feet respectively

Step-by-step explanation:

The computation is shown below:

Let us assume the width be x

So, the length be 2x + 8

As we know that

The perimeter of the rectangle = 2(length + width)

96 = 2(2x + 8 + x)

96 = 4x + 16 + 2x

96 - 16 = 6x

80 = 6x

x = 80 ÷ 6

= 13.33 feet

So, the length would be

= 2 × 13.33 + 8

= 34.67 feet

Hence, the length and width be 13.33 feet and 34.67 feet respectively

4. A bag of rice at the warehouse store weighs
15 pounds. Maya needs to buy rice for her
restaurant. Write an equation that can be
used to find the pounds of rice, p, in any
number of bags of rice, r.

Answers

Total number of pounds=15x number of bags

6a-1÷7=4. . . . . . . . . . .. . . ​

Answers

Answer:

a=29/42

Step-by-step explanation:

6a-1÷7=4

first write the division as a fraction

6a-1/7=4

add 1/7 to each side

6a=4+1/7

which is equal to

6a=29/7

divide both sides by 6

a=29/42

(6x10^6) / (2x10^3) solve?

Answers

Answer:

3x^999000

Explantiotn

(12y+2x)+4y
A. 20x+8y
B. 16y+2x
C. 19x+4y

Answers

Answer: B

Step-by-step explanation:

You are combining like terms

12y+4y=16y

16y+2x

The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day. The number of red carnations sold was 3 more than 2 times the number of pink carnations sold. Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 . How many of each carnation were sold?

Answers

Answer:

The number of :

Red carnations sold = x = 687 carnations

Pink carnations sold = y = 342 carnations

How many of each carnation were

Step-by-step explanation:

Let us represent

The number of :

Red carnations = x

Pink carnations = y

The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day.

The number of red carnations sold was 3 more than 2 times the number of pink carnations sold.

x = 3 + 2y .....Equation 1

Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 .

$0.50 × x + 0.75 × y = $600

0.5x + 0.75y = 600...... Equation 2

Using substitution method:

Let us substitute, 3 + 2y for x in Equation 2

0.5(3 + 2y) + 0.75y = 600

1.5 + y + 0.75y = 600

y + 0.75y = 600 - 1.5

1.75y = 598.5

y = 598.5/ 1.75

y = 342 carnations.

Solving for x

x = 3 + 2y .....Equation 1

x = 3 + 2(342)

x = 3 + 684

x = 687 carnations

Therefore, The number of :

Red carnations = x = 687 carnations

Pink carnations = y = 342 carnations

I need help with -3x + 6 = 24

Answers

Answer:

x = -6

Step-by-step explanation:

The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number?
ОА.
The equation that represents this situation is 10 - X= -18. The second number is 28.
OB. The equation that represents this situation is 10 + x = -18. The second number is -28.
OC.
The equation that represents this situation is x - 10 = -18. The second number is -8.
OD
The equation that represents this situation is -10 + x = -18. The second number is -8.

Answers

Step-by-step explanation:

OB. The equation that represents this situation is 10 + x = -18. The second number is -28. this is the answer cause the sum means +

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