¿How to solve with logarithms?

See image please

How To Solve With Logarithms?See Image Please

Answers

Answer 1

Answer:

Step-by-step explanation:

Apply the natural log to both sides we have

[tex](-(2/3)x -1 ) \ln 2 = (3-2x)\ln 3\\-x(2/3)\ln 2 + 2x\ln 3 = 3\ln 3 -\ln 2\\x\left(\frac{-2}{3}\ln 2 +2\ln 3\right)=\ln (27/2)\\x\left(\ln 9 -\ln \sqrt{8}) =\ln(27/2)\\\\x\ln (9/\sqrt{8})=\ln(27/2)\\\\x= \ln(27/2) / \ln(9/\sqrt{8})[/tex]


Related Questions

Calculate the distance between the points -8,2 and 3,2 on a coordinate plane

Answers

(-8,2)(3,2)

[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{11^2}[/tex]

[tex]\\ \rm\Rrightarrow 11[/tex]

Two major league players got a total of 226 hits. Washington had 18 more hits than Sanchez. Find the number of hits for each player.

Answers

Answer:

Washington had 115 hits and Sanchez had 111 hits.

Step-by-step explanation:

2s + 4 = 226

2s = 222

s = 111

s + 4 = 115

brainiest to whoever right

Answers

(12,22) let me know if you want computation:)

9 gal 2 qt to quarts

Answers

Answer:

38 us liquid quarts

Step-by-step explanation:

please i need to know ​

Answers

Answer:

the answer is 28

Step-by-step explanation:

PEMDAS:

(8-2) = 6

6^2= 36

36/2= 18

18+10= 28

Answer:

D. 28

PEMDAS:

Parenthesis, exponents, multiplication, division, addition, subtraction

10 + (8 - 2)^2 / 2

1. Parenthesis comes first so we're left with

10 + (6)^2 / 2

2. Then we do the exponents

10 + 36 / 2

3. Then it's division

10 + 18

4. Finally we add

28

Write an equation that expresses the following relationship.
p varies directly with d and inversely with the square of u
In your equation, use k as the constant of proportionality.

Answers

Answer:

p = k(d)/u^2

Step-by-step explanation:

BRAINLIEST, PLEASE!

|72| ÷ |-12| =
?????????

Answers

Answer:

6

Step-by-step explanation:

|72| ÷ |-12|

Absolute value of 72 = 72

Absolute value of -12 = 12

72 ÷ 12 = 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

How do they get Question 3

Answers

Answer:

400÷10=40

Step-by-step explanation:

the question asks for you to divide each number in the pattern by 10.

the first number is 400

400÷10=40

then you would do 40÷10=4

then 4÷10=0.4

then 0.4÷10=0.04

so the pattern would be

400 , 40 , 4 , 0.4 , 0.04

hope this helped!

How many area codes (ABC) would be possible if all three digits could be any value 3-9

Answers

Answer:

Step-by-step explanation:

Whats the answer to it i can't figure it out

Answers

Answer:

-0.1

...............................

Answer:

-0.1

Step-by-step explanation:

-1/7 = -0.142857

-0.1 = -0.10

-0.1 > -1/7

pls help with this problem

Answers

Answer:  26 cm

====================================================

Explanation:

Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.

We then use the pythagorean theorem to find the length of the hypotenuse MT.

a^2 + b^2 = c^2

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

c^2 = 676

c = sqrt(676)

c = 26

Segment MT is 26 cm long.

This applies to the other diagonal AH as well.

5.
A bag contains three types of candy (gumdrops, jelly beans, and jawbreakers). If
chosen at random, the probability of getting a gumdrop is 1/6 and the probability
of getting a jellybean is 1/3 What is the probability of getting a jawbreaker?

Answers

Answer:

P) = 1/2 jawbreaker

simplified P) 3/6 = 1/2 jawbreaker

Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.

as 2/6 + 1/3 = 3/6

1 - 3/6 = 3/6

= 1/2    are the workings.

Step-by-step explanation:

Jelly bean = 1/3 = 2/6

Gumdrop = 1/6

2/6 + 1/6 = 3/6 = the difference of 1

1-3/6 = 3/6

Therefore; P) = 3/6 jawbreaker

brainiest to whoever rightt.

Answers

Answer:

Perimeter of a square

Step-by-step explanation:

The formula for finding out the perimeter of a square is P = 4s

6 bannas cost $0.75. How much do 20 bannas cost

Answers

Answer:

15

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

Lines m and n are parallel lines. If line m has a slope of -1, find the slope of linen. Type a numerical answer in the space
provided. If necessary, use the key as a fraction bar. Do not type spaces in your answer.

Answers

line n has a slope of -1

parallel lines have equal slopes

A 16-ft steel beam is to be cut into two pieces so
that one piece is 1 foot longer than twice the other.
Find the length of each piece.

Answers

Answer:

8.5 feet and 7.5 feet.

Step-by-step explanation:

Hope this helps :)

help plz answer quickly

Answers

Answer:

plane EBG

Step-by-step explanation:

plane C is also named plane EBG

Answer:

[tex]\\ \sf\longmapsto Plane EBG[/tex]

We can't name it EBF as it is a axis and coplanar points

Also nEF is not a satisfactory name .

So the correct option is C

15
Determine whether the ordered pairs (1,0) and 4,
(4:15)
are solutions of the following equation.
- 5x + 7y= -5
BRE
Is (1,0) a solution of - 5x + 7y = - 5?
O Yes
Ο Νο


(ANSWER QUICKLY)

Answers

Answer:

yes

Step-by-step explanation:

x = 1, y = 0

so,

-5×1 + 7×0 = -5

-5 + 0 = -5

-5 = -5

true, therefore (1, 0) is a solution (a point on the graph) of the equation.

I am not sure what the other pair should be.

A property sells for $140,000 two years after it was purchased. If the annual appreciation rate is 6%, how much did the original buyer pay for it?

Answers

Answer:

$123,200

Step-by-step explanation:

0.06 x 2 = 0.12

140,000 x 0.12 = 16,800

140,000 - 16,800 = 123,200

The original buyer paid the amount of $123,200 for the property.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

The property appreciated by 6% per year, so in two years it would have appreciated by 6% × 2 years = 12%.

Once we know the total appreciation, we can subtract that value from 100% to find the original purchase price as a percentage of the final sale price.

If the property appreciated by 12%, then the original purchase price must have been 100% - 12% = 88% of the final sale price.

Now, multiply the final sale price by the original purchase price as a percentage to find the original purchase price.

So, the original buyer paid the amount = 88% × $140,000 = $123,200

Therefore, the original purchase price was $123,200.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

2. An electronic watch is sold for Rs 840 at a profit of Rs 90. Find its cost price and the profit per cent.

Answers

Answer:

750 CP AND PROFIT%=12%

Step-by-step explanation:

SP=rs 840

profit=90

CP=SP-profit

=840-90

=750

profit %=profit/CP*100%

=90/750*100%

=12%

Match the terms to their definition.
1. union
2. intersection
3. compound inequality
Hurry plz

Answers

Step-by-step explanation:

compound inequality: a statement formed by two.......

intersection: elements that are in both set A and B

union: elements that are in either set A or B

If a ribbon that is 30.1 inches long is cut into equal pieces that are 1.75 inches long, how many pieces of ribbon can be created?

1.72
12.7
17.2
172.0

Answers

Answer:

17.2

Step-by-step explanation:

30.1÷1.75=17.2

plssss mark brainliesttr

(2x+1)(3x+4)=0
2x+1=0 3x+4=0

Solve for both equations. What are the two x-values/answers going to be? Leave your answer in a simplified fraction.
(I don’t know what to do next)

Answers

Answer:

2x+1=0.

2x=0-1.

2x=-1.

2x/2=-1/2.

x=-2.

3x+4=0

3x=0-4

3x=-4

3x/3=-4/3

[tex]x = 1 \frac{1 }{3} [/tex]

. Evaluate the expression below for x = 4. 6(x+8) (please ​

Answers

Answer:

D

Step-by-step explanation:

6(x + 8) =                 Plug in x with 4

6(4 + 8) =

6(12) =

72

D. 72
6(4+8) (remember distributive property)
6(4) & 6(8)
24+48
=72
so that means the answer will be D. 72


Shellie buys a loaf of bread fo $2.99, a gallon of milk for $3.49, and a pack of
lunchmeat for $5.99. The sales tax is 8%. How much will Shellie's total bill be,
including the sales tax? Round your answer to the nearest cent.

Answers

Answer:

$13.47

Step-by-step explanation:

2.99 + 3.49 +5.99 + 12.47.

12.47 x 0.08 = 1.

12.47  + 1 = 13.47

A multiple choice test contains 25 questions with 5 answer choices. What is the probability of correctly answering 8 questions if you guess randomly on each question?

Answers

Answer: 0.0623

Step-by-step explanation:

The probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.

It is given that multiple choice test contains 25 questions with 5 answer choices.

To find probability of correctly answering.

What is probability?

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

Given that:

The probability of each correct answer is  [tex]p_{s}[/tex][tex]=\frac{1}{5}[/tex]

The probability of 8 successful answers in 25 independent trials for a binomial probability distribution is:

p(k|n)=[tex]\frac{n!}{(n-k)!*n!}[/tex][tex]p_{s}^{k} (1-p_{s})^{n-k} \\[/tex]

p(8|25)=[tex]\frac{25!}{(25-8)!*8!}[/tex][tex]{\frac{1}{5} }^{k} (1-1/5)^{25-8} \\[/tex]

p(8|25)=0.062348

So, the probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.

Learn more about probability here:

https://brainly.com/question/24385262

#SPJ2

Based on your answer to the last question, which of the following prices of trade (that is, price of cheese in terms of beer) would allow both Sweden and Greece to gain from trade? Check all that apply.

Answers

What are the options?

I need some help with the homework problem. I have a list of formulas, but can't seem to get it done.

[tex]\int\frac{9}{\sqrt{1+e^{2x}}} \, dx[/tex]

I started by taking the constant out and setting u = [tex]\sqrt{1+e^{2x\\}}[/tex]
After this I can't seem to progress.

Answers

After setting [tex]u=\sqrt{1+e^{2x}}[/tex], partially solving for x in terms of u gives

[tex]u = sqrt{1+e^{2x}} \implies u^2 = 1 + e^{2x} \implies e^{2x} = u^2 - 1[/tex]

Then taking differentials, you get

[tex]2 e^{2x} \,\mathrm dx = 2u \, \mathrm du \implies \mathrm dx = \dfrac{u}{u^2-1}\,\mathrm du[/tex]

Replacing everything in the original integral then gives

[tex]\displaystyle \int \frac9{\sqrt{1+e^{2x}}}\,\mathrm dx = \int \frac9u \times \frac u{u^2-1}\,\mathrm du = 9 \int \frac{\mathrm du}{u^2-1}[/tex]

Split up the integrand into partial fractions:

[tex]\dfrac1{u^2-1} = \dfrac a{u-1} + \dfrac b{u+1} \\\\ 1 = a(u+1) + b(u-1) = (a+b)u + a-b \\\\ \implies \begin{cases}a+b=0\\a-b=1\end{cases} \implies a=\dfrac12,b=-\dfrac12[/tex]

so that

[tex]\displaystyle 9 \int \frac{\mathrm du}{u^2-1} = \frac92 \int \left(\frac1{u-1} - \frac1{u+1}\right) \,\mathrm du \\\\ = \frac92 \left(\ln|u-1| - \ln|u+1|\right) + C \\\\ = \frac92 \ln\left|\frac{u-1}{u+1}\right| + C \\\\ = \frac92 \ln\left(\frac{\sqrt{1+e^{2x}}-1}{\sqrt{1+e^{2x}}+1}\right) + C[/tex]

HELP PLEASE
Find the length of AB

Answers

Step-by-step explanation:

hopefully it makes sense and is visible

:)

Whatis (-5 + 3i) -(4+7i)?

Answers

Answer:

-5-4i is your answer.

I hope it will help you
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