Someone please help fast, I am really lost with the law of logarithms and need help with these questions in picture

Someone Please Help Fast, I Am Really Lost With The Law Of Logarithms And Need Help With These Questions

Answers

Answer 1

We'll use the following log rules

Log rule 1:  log(xy) = log(x)+log(y)Log rule 2: log(x/y) = log(x)-log(y)Log rule 3: log(x^y) = y*log(x)

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

Part 1

Answer: 2a + 2c

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Work Shown:

Ln(100) = Ln(4*25)

Ln(100) = Ln(2*2*5*5)

Ln(100) = Ln(2)+Ln(2)+Ln(5)+Ln(5) ... using log rule 1

Ln(100) = a+a+c+c

Ln(100) = 2a + 2c

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

Part 2

Answer: 2a + b - c

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Work Shown:

Ln(2.4) = Ln(24/10)

Ln(2.4) = Ln[ (2*2*2*3)/(2*5) ]

Ln(2.4) = Ln[ (2*2*3)/5 ]

Ln(2.4) = Ln(2*2*3) - Ln(5) ... using log rule 2

Ln(2.4) = Ln(2)+Ln(2)+Ln(3) - Ln(5) .... using log rule 1

Ln(2.4) = a+a+b-c

Ln(2.4) = 2a+b-c

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

Part 3

Answer: -3a + b - 3c

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

Work Shown:

Ln(0.003) = Ln(3/1000)

Ln(0.003) = Ln[ 3/( 10^3) ]

Ln(0.003) = Ln(3) - Ln(10^3) ... log rule 2

Ln(0.003) = Ln(3) - 3*Ln(10) ... log rule 3

Ln(0.003) = Ln(3) - 3*Ln(2*5)

Ln(0.003) = Ln(3) - 3*( Ln(2) + Ln(5) ) ... log rule 1

Ln(0.003) = b - 3*( a + c )

Ln(0.003) = b - 3a - 3c

Ln(0.003) = -3a + b - 3c

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

Part 4

Answer: 3a + 3b + 2c

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

Work Shown:

All logs shown for this part are in base 2

log(5400) = log(54*100)

log(5400) = log(6*9*4*25)

log(5400) = log(2*3*3*3*2*2*5*5)

log(5400) = log(2^3*3^3*5^2)

log(5400) = log(2^3)+log(3^3)+log(5^2) ... log rule 1

log(5400) = 3*log(2)+3*log(3)+2*log(5) ... log rule 3

log(5400) = 3a + 3b + 2c


Related Questions

4. Lines 1 and 2 are parallel, and lines 3 and 4 are parallel.

Answers

Answer:

x=105

y=75

z=105

Step-by-step explanation:

Answer: x=105 y=75 z=105

Select the possible values

Answers

Answer:

all exept 1

Step-by-step explanation:

blah blah blah

The shelter has 90 dogs and 150 cats. of these animals 9 dogs and 27 cats receive medication. What percentage of animals receive medication?

Answers

3% because If you divide 27/9

Find the difference. (3 • 1,000) – (2 • 100) 100 1,000 1,900 2,800

Answers

Answer:

[tex]2,800[/tex]

Step-by-step explanation:

[tex]\left(3\cdot \:1,000\right)-\left(2\cdot \:100\right)[/tex]

[tex]3,000-\left(2\cdot \:100\right)[/tex]

[tex]3,000-200[/tex]

[tex]2,800[/tex]

1. Function s is y = 5x - 4
(a) What is the inverse of function s? Show steps to finding it.
(b) Graph the function & its inverse on the same grid. Show at least 3 points on each line.
(c) Is the inverse of function s a function? Explain your answer.

Answers

Answer:

duhuhduiwehiufhewufuewgewfguiwgf

Step-by-step explanation:

Is(0,-2) a solution of x+y=6

Answers

Answer:

no

Step-by-step explanation:

x+y=6

Substitute the point into the equation and see if it is true

0 + -2 = 6

-2 =6

This is not true so the point is not a solution

Answer: No

Step-by-step explanation:

To see if (0.-2) is a solution of x+y=6, we can plug it in and solve.

0+(-2)=6            [add]

-2≠6

Since -2 does not equal 6, we know that (0,-2) is not a solution.

6. Laura has $322 in her checking account. She bought a pair of jeans for $32. Then, she
bought a pair of boots for $47. What is the current balance of Laura's checking account?

Answers

Answer:

243

Step-by-step explanation:

33/(20-9)
33 divided by (20-9) I need help

Answers

Answer: 3

Steps:

33/(20-9)

33/11

3

Answer: 3

Step-by-step explanation:

To solve, we need to use algebraic properties.

[tex]\frac{33}{(20-9)}[/tex]               [parenthesis]

[tex]\frac{33}{11}[/tex]                     [divide]

3

What percent of 70 is 49?

Answers

Answer:

70%

Step-by-step explanation:

49/70 = 0.7

0.7*100 = 70%

The ratio of 1.4 to 29 is the same as the ratio of 2.8 to

Answers

Answer: Is the same as  2.8 to 58

Step-by-step explanation:

The ratio 1.4 to 29  could be written as 1.4/29  and the ratio 2.8 could be as  

2.8/ x  where x it he missing number.

Now set up a cross product equation to solve for x.

[tex]\frac{1.4}{29} = \frac{2.8}{x}[/tex]      Cross multiply

1.4x = 81.2     Divide both sides by 1.4

x= 58  

Simplify −0.6(−6.3). −3.78 −3.63 3.63 3.78

Answers

Answer:

3.78

Step-by-step explanation:

a negative multiplied by a negative is a positive. 0.6 multiplied by 6.3 equals 3.78

Answer:

3.78

Step-by-step explanation:

The largest perfect square factor of 252 is _____

Answers

Answer:

18

Step-by-step explanation:

252 is a composite number. The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.

A farm lets you pick 3 pints of raspberries for $12.00. At this rate, how many pints can you get for $20?

Answers

Answer:

5

Step-by-step explanation:

12$:3 =4$ a pints of raspberries

20$:4$=5 pints of raspberries

30 divided by 1.25 with work

Answers

Answer:

24

Step-by-step explanation:

If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.

The result is: 30 divided by 1.25 equals 24.

To divide 30 by 1.25, follow these steps in words:

The division 30 ÷ 1.25 can be written as the fraction 30/1.25.

Remove the decimal by multiplying both the numerator and denominator by a power of 10 to convert the decimal into a whole number.

Since 1.25 has two decimal places, multiply both the numerator and denominator by 100 to remove the decimal:

30/1.25 = (30 * 100) / (1.25 * 100) = 3000 / 125

Find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD to simplify the fraction:

GCD of 3000 and 125 is 25.

3000 ÷ 25 = 120

125 ÷ 25 = 5

So, 3000/125 simplifies to 120/5.

Divide the numerator by the denominator to get the final result.

Now, simply divide the numerator (120) by the denominator (5):

120 ÷ 5 = 24

The result is 24.

So, 30 divided by 1.25 equals 24.

To learn more on division click:

brainly.com/question/21416852

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The cookie store had 187 cookie jars with 12 cookies in each cookie jar. How many cookies did the cookie store hav in all

Answers

15.5 I got this answer because I used a calculator.... I need help myself
2,224 total. just multiply 187 by 12

The length of a rectangle is 5 centimeters longer than twice its width. If the perimeter of the rectangle is 88 centimeters, what is the width?

Answers

Answer:

The length of a rectangle is 5 centimetres longer than twice its width. If the perimeter of the rectangle is 88 centimetres, what is the width?

width=x

length=2x+5

perimeter=88=2L+2W

 

so half perimeter=44=L+W

x+2x+5=44

3x=39

x=13 cm width ANSWER

2x+5=31 cm length

The width of the rectangle is Width, W = 13 centimeters.

Let the length of the rectangle be L. Let the width of the rectangle be W.

Given the following data:

Perimeter of rectangle = 88 centimeters

Translating the word problem into an algebraic equation, we have;

[tex]L = 2W + 5[/tex]

To find the width of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P = 2(L + W)[/tex]

Substituting the values into the formula, we have;

[tex]88 = 2(2W + 5 + W)\\\\88 = 2(3W + 5)\\\\88 = 6W + 10\\\\6W = 88 - 10\\6W = 78\\\\W = \frac{78}{6}[/tex]

Width, W = 13 centimeters.

Therefore, the width of the rectangle is Width, W = 13 centimeters.

Find more information: brainly.com/question/897975

Evaluate the function f(x) = 7x - 8 at the given values of the independent variable and simplify.

a. f(7)

b. f(x + 5)

c. f(-x)

Answers

Answer:

Step-by-step explanation:

Given the function :

f(x) = 7x - 8

Evaluate the given values of the independent variable and simplify.

a. f(7)

b. f(x + 5)

c. f(-x)

A.) f(7)

f(7) = 7(7) - 8

= 49 - 8

= 41

B.) f(x + 5)

7(x + 5) - 8

7x + 35 - 8

7x - 27

C.) f(-x)

7(-x) - 8

-7x - 8

andrews bank account changed by -$50 after making four equal withdrawals. how much was each withdrawal​

Answers

50/4 = 12.5
So Andrew withdrew $12.50 each time.

use picture or words to explain how you could find the sum of 7+7

Answers

Step-by-step explanation:

The sum of is of seven plus seven is 14. 7 orange fish and 7 blue fish equal 14 fishes in total.

please help help help help

Answers

Answer:

2(5+4(8+1)) - 4²

=82 + 16

=66

In one day at a store, 7% of the sales were
from shoes. Write 7% as a decimal.

Answers

Answer:

0.07

Step-by-step explanation:

Anwser: Your anwser is 0.07

2.1 If an event has a probability that is greater than 0.4, what does it mean?

2.2 What is meant when two events are said to be mutually exclusive?


Answers

Answer:

Step-by-step explanation:

1) i think for the first question any probability greater than 0.4 has more likelihood that it will happen

2) mutually exclusive events are ones that cannot occur at the same time as it's impossible e.g. a single coin toss cannot result in you getting heads and tails

Study these equations:
f(x) = 2x - 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
O h(x) = 6x2 – 10x - 4
O h(x) = 6x2 – 12x - 4
O h(x) = 6x2 + 2x - 4
O h(x) = 6x2 + 14x + 4

Answers

Answer:

A. h(x) = 6x2 – 10x – 4

Step-by-step explanation:

Got 100% on edge.

The value of h(x) is h(x) = 6x^2 -10x + 4

How to determine the composite function?

The functions are given as:

f(x) = 2x - 4

g(x) = 3x + 1

So, we have:

h(x) = f(x)g(x)

This gives

h(x) = (2x - 4) * (3x+ 1)

Evaluate

h(x) = 6x^2 + 2x - 12x - 4

This gives

h(x) = 6x^2 -10x + 4

Hence, the value of h(x) is h(x) = 6x^2 -10x + 4

Read more about composite functions at:

https://brainly.com/question/10687170

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2. Calculate your total variable costs for the summer at each price. a. 35 lawns per weekx 12 weeks x $24.25 variable cost = b. 20 lawns per weekx 12 weeks x $24.25 variable cost = c. 5 lawns per weekx 12 weeks x $24.25 variable cost =​

Answers

Answer:

Total variable costs for the summer at each price:

a. = $10,185

b. = $5,820

c. = $1,455

Step-by-step explanation:

a. 35 lawns per week x 12 weeks x $24.25 variable cost

= 35 * 12 * $24.25

= $10,185

b. 20 lawns per week x 12 weeks x $24.25 variable cost

= 20 * 12 * $24.25

= $5,820

c. 5 lawns per week x 12 weeks x $24.25 variable cost

= 5 * 12 * $24.25

= $1,455

d. The variable cost, as can be seen from above, changes based on the volume of activity or production.  The number of lawns influenced the cost, since the other indexes are the same in each case.

(B^2)(B^4)
Answer choices
B^8
B^6
B^2
2b^6

Answers

Answer:

Step-by-step explanation:

(B^2)(B^4) = B^(2+4)= B^6

answer is B

how many minutes (min ) are in 2 hours?

Answers

Answer:

120

Step-by-step explanation:

1 hour = 60 minutes

2 hours = 2* 60 = 120 minutes

functions occur when every x-value is associated with exactly one

Answers

The answer is y-value. A function is formed when one x-value corresponds with one and only one y-value.

Solve the following proportion for u.
u/4 = 3/17
Round your answer to the nearest tenth

Answers

Answer:

345897

Step-by-step explanation:

423786945

Please help me
I need to submit it now!!

Answers

Answer:

Alicia is correct because....

Step-by-step explanation:

12 - 4 = 8 + 3 = 11

A unit rate is a rate in which one of the quantities is 1. The unit rate is the same as the constant of proportionality. In our ice cream example, 1 scoop of ice cream costs $2. The unit rate, or unit price, of dollars per scoop is 2. Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot? A 1 B 2 C 3 D 4

Answers

Answer:

The annswer is 3 for the clay pots

Step-by-step explanation:

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