What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

(7 + 6) - (14 - 1) = 13 - 13 = 0

Answer 2

Answer:

x = 7

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

ln(x + 6) - ln(2x - 1) = 0

ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0

[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then

2x - 1 = x + 6 ( subtract x from both sides )

x - 1 = 6 ( add 1 to both sides )

x = 7


Related Questions

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

4.1 kilograms

Step-by-step explanation:

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

= 7.6 kilograms - 3.5 kilograms

= 4.1 kilograms

Lisa and Maria were baking oatmeal cookies. Lisa baked 24 cookies on Friday and 36 on Saturday. Maria baked the same amount of cookies that Lisa baked on Saturday. How many cookies did they bake altogether?

Answers

Answer:

96 cookies.

Step-by-step explanation:

I don't love the wording of the question, but here's what I see:

Lisa Friday: 24

Lisa Saturday: 36

Maria total: 36

Cookie total: 96

-----------------------------------------------------

I can't really tell from how the question is worded if Maria's total was the total of what Lisa made, and she did it all on Saturday, or if Maria baked Lisa's Saturday number of cookies.

If 96 is the wrong answer, then try:

Lisa Friday: 24

Lisa Saturday: 36

Maria total: 60

Cookie total: 120

which of the following statements describe the system ?​

Answers

Answer:

one solution

Step-by-step explanation:

here, we want to select the correct option

From the system, we have two values of y

Equating the y-values

3x + 2 = -2x - 1

What this mean is that there is only a particular point where this solution will work and as such, the system has one solution

HELP giving brainlest and extra points

Answers

divide tomato genome and human genome and you'll get

= 0.3

standard form is

3 × 10-¹

You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help

Answers

1500+5%= 1505 that is the answer I got I hope this was helpful

Please answer!! Its due today!

Answers

answer:

20 degrees

explanation:

90 + 70 = 160
180 - 160 = 20

Determine the value of x in each figure.
HELPPPPP PLEASEEEEE

Answers

Answer:

15°

Step-by-step explanation:

120° and 8x are vertically opposite angles, which are always equal.

=> 8x = 120°

=> x = 120/8

=> x = 15°

Please please please please help me

Answers

Answer:

for # 1 the answer is B

for the second one i dont know

for the last one the answer is D

Step-by-step explanation:

There is a 0.9987 probability that a randomly selected 31​-year-old male lives through the year. A life insurance company charges ​$186 for insuring that the male will live through the year. If the male does not survive the​ year, the policy pays out ​$100,000 as a death benefit. Complete parts​ (a) through​ (c) below.

Answers

Parts a through c is missing and it is;

a) From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surving the year and not surviving?

The value corresponding to surviving the year is $_____.

The value corresponding to not surviving the year is $_____.

b) If the 33-year-old male purchases the policy, what is his expected value?

The expected value is $_____.

c) Can the insurance company expect to make a profit from many such policies? Why?

_____ because the insurance company expects to make an average profit of $_____ on every 33-year-old male it insures for 1 year.

Answer:

A) the value that corresponds to surviving the year = - $186

The value corresponding to not surviving the year = $99814

B) μ = -$56

C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.

Step-by-step explanation:

A) The company charges $186 for insuring. Thus;

Amount paid out = - $186

Therefore, the value that corresponds to surviving the year = - $186

Therefore, the value corresponding to not surviving the year = $100000 - $186

The value corresponding to not surviving the year = $99814

B) since probability that a 31 year old male survives is 0.9987, then;

Probability that a male doesn't survive is;

P(doesn't survive) = 1 - 0.9987

P(doesn't survive) = 0.0013

The expected value is calculated from;

μ = Σx•P(x) = (0.0013 × 99814) + (-186 × 0.9987)

μ = -$56

C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.

PLEASE HELP ME GIVING BRAINLEST AND NO LINKS!!!

Answers

Answer:

1.)280 2.)142.5 3.)30

Step-by-step explanation:

2 sin^2 (x) + 3 sin (x) + 1 = 0
help me find the solution

Answers

Answer:

Step-by-step explanation:

\[2~ sin^2 x+3sin x+1=0\]

\[2sin^2x+2sin x+sin x+1=0\]

2sinx(sin x+1)+1(sin x+1)=0

(sin x+1)(2 sin x+1)=0

either sin x+1=0

sin x=-1=sin 3π/2=sin (2nπ+3π/2)

x=2nπ+3π/2,where n is an integer.

or 2sin x+1=0

sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)

x=2nπ+7π/6,2nπ+11π/6,

where n is an integer.

PLEASE HURRY, THANK YOU!!!!

Answers

Answer:

58+61=119

180-119=61

61 degrees is the answer

Step-by-step explanation:

180 is the amount of degrees in a triangle.

Subtract all the degrees that are given to you from 180, the resulting number should be your unknown.

180 - 58 - 61 = 61 degrees is your answer.

A cake weights 900 g. Paul cuts it in 4 pieces. The biggest piece weighs as much as the 3 other pieces weigh together. What is the weight of the biggest piece?

Answers

Answer:500 g

Step-by-step explanation:

How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions

Answers

Answer:

No solution

Step-by-step explanation:

Use substitution

2x+1=2x-1

Subtract 2x on both sides

1= -1

No solution

Sam plays a basketball training game, she gets s points for every basket. The equation ya shows the total number of points she scores, which depends on the Belect the graph with the correctly labeled aves for

Answers

Answer:

Step-by-step explanation:

On my screen it is C. Which is number of baskets on the bottom and total pints in the side. Hope this helps:)

help help help help help help help help

Answers

I believe the answer is (3,4)

The radius of a sphere with a volume of 4.5 cubic mm is ___ mm.

Answers

Answer: 1.5 mm

Step-by-step explanation:

Answer: r=1.02

Step-by-step explanation:

(3 • 4.5/4•pi)1/2

Pls help..what’s the answer to this question

Answers

Answer:

x = 25

Step-by-step explanation:

53 = 2x + 3

x = (53 - 3)/ 2

x = 25

Factor x2 − 8x + 9.

(x − 9)(x − 1)
(x + 9)(x + 1)
Prime
(x + 9)(x − 1)

Answers

Answer:

-8x+9

Step-by-step explanation:

Answer:

The answer is Prime

Step-by-step explanation:

Attached photo for proof

Help me with this!!!

Answers

Answer:

z = 9

Step-by-step explanation:

7z = z + 54

7z - z = 54

6z = 54

z = 54 / 6

z = 9

The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.

Answers

Answer:

false

true

true

false

.......

The measure of arc BC is ___ degrees.

Answers

Answer:

150

Step-by-step explanation:

I need help on this homework

Answers

Linear, 4 is added each time.
Line 4
Explanation
Period

Sea f(x) = 5x + 3 entonces f(6) = ?

Answers

Answer:

f(6)=33

Step-by-step explanation:

f(6)=5(6)+3

f(6)=30+3

f(6)=33

The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?

Answers

Answer:

Step-by-step explanation:

By the Pythagorean Theorem we know

h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)

w^2+18^2=30^2

w^2=30^2-18^2

w^2=900-324

w^2=576

w=24 in

In the Pythagorean Theorem, a^2+b^2=c^2. The measurements provided here are 30, and 18. 30 is c and 18 is either a or b (it doesn’t matter) 30 is c because it is specified as a diagonal. In reverse to the Theorem, it would be 30^2-18^2= a^2 that would be 900-324. You would then square root what you got for “a” to find your answer. It would be 24.

i need help solving the paint questions ​

Answers

For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)

Please help me this question is timed ​

Answers

13,946 is the answer I believe

Answer:

$11,000

Step-by-step explanation:

8% × $25,000

$2,000

$2,000 × 7

$14,000

$25,000 - $14,000

$11,000

please helppp will give brainliest

Answers

Answer:

[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.

Step-by-step explanation:

Dividing a fraction is the same as multiplying the reciprocal of the second fraction.

[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]

[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex]  Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.

So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .

I hope this makes sense!! ^-^

WILL GIVE BRAINLIEST!
The length of a side of a square is (6x + 6) km. Find the area of the square in terms of
the variable x. km2

Answers

36x^2+72x+36 I think

five less than three time a number is greater than two thrirds of that number

Answers

Answer:

3x - 5 > 2/3x

Step-by-step explanation:

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