Someone please help fast, I am really lost with the law of logarithms and need help with these questions in picture
Answers
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-------------
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-------------
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
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]
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:
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.
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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
andrews bank account changed by -$50 after making four equal withdrawals. how much was each withdrawal
Answers
So Andrew withdrew $12.50 each time.
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
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.
Please help me
I need to submit it now!!
Answers
Answer:
Alicia is correct because....
Step-by-step explanation:
12 - 4 = 8 + 3 = 11
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.
What percent of 70 is 49?
Answers
Answer:
70%
Step-by-step explanation:
49/70 = 0.7
0.7*100 = 70%
(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
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
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
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.
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:
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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 cookie store had 187 cookie jars with 12 cookies in each cookie jar. How many cookies did the cookie store hav in all
Answers
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 centimetersTranslating 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
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
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
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
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
please help help help help
Answers
Answer:
2(5+4(8+1)) - 4²
=82 + 16
=66
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.
33/(20-9)
33 divided by (20-9) I need help
Answers
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
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.
Select the possible values
Answers
Answer:
all exept 1
Step-by-step explanation:
blah blah blah
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
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:
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: