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
27 is nine more than six times
Hugo's age. What is Hugo's
age?
Answers
Answer:
3
Step-by-step explanation:
First, subtract 9 from 27:
27 - 9 = 18
Next, divide 6 from 18:
18/6 = 3
3 is Hugo's age.
~
I need this right now please
Answers
Which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x)? vertical translation horizontal translation reflection over the x-axis reflection over the y-axis
Answers
Answer:
Vertical Translation.
Step-by-step explanation:
If you shift a parabole up, for example, it is still symmetric about the y-axis. If you shift it left or right, it loses its symmetry. Reflection maintains symmetry for both even and odd functions.
Answer:
vertical translation
Step-by-step explanation:
4x +14+ 4x=38 solve equation
Answers
Answer:
3
Step-by-step explanation:
4x +14 +4x =38
8x =38 - 14
8x=24
x=24 :8
x=3
1. -x divided by 11
2. z multiplied by - 5
working pls
Answers
Answer:
1. [tex]-x \div 11 = \frac{-1}{11}x[/tex]
2. [tex]z \times -5 = -5x[/tex]
Hope this helped you!
Multiply (6x^3+8)(7x^2+8x+7)
Answers
Round 7696.41481885 to the nearest thousand
Answers
Round the number 7696.41481885 to the nearest thousandth will be 7696.415.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The decimal number is given below.
7696.41481885
Round the number 7696.41481885 to the nearest thousandth term, which will be done if the number is greater than 5 then the previous of that number is increased by 1. Then the number will be
7696.415
Round the number 7696.41481885 to the nearest thousandth will be 7696.415.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
what is one and three hundred twenty-four thousand in decimal
Answers
Answer:
1.324
Step-by-step explanation:
"and" is basically the decimal
Answer:
.32400
Step-by-step explanation: just cs
Austin removed 16 fish from his pond over a period of 2 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?
Answers
Answer:
-8
Step-by-step explanation:
if he took out the same number of fish each day then it would be 8 a day resulting in a decrese of 8 fish a day.
Find the complement of the set given that U = {3, 4, 5, 6, 7, 8, 9, 10, 11). (Use the roster method to write the set. Enter EMPTY or for the empty set.)
{5, 7, 9, 10)
Answers
Answer:
(3, 4, 6, 8, 11)
Step-by-step explanation:
The complement of a set are elements of a universal set that isn't present in the given set.
The universal set is U = {3, 4, 5, 6, 7, 8, 9, 10, 11)
[tex]\left \{ 3,4,6,8,11 \right \}[/tex]
A set is a well-defined collection of objects.
The collection of all items in a certain context or theory is known as a universal set.
The complement of a set is the set that contains all of the universal set's elements that aren't found in the provided set.
[tex]U=\left \{ 3,4,5,6,7,8,9,10,11 \right \}[/tex]
Let [tex]A=\left \{ 5,7,9,10 \right \}[/tex]
Complement of set is [tex]\left \{ 3,4,6,8,11 \right \}[/tex]
For more information:
https://brainly.com/question/2332158?referrer=searchResults
Choose the expression that completes the equation. 24 ÷ 6 + 20 =______
Answers
Hey there!
ANSWER: [tex]24[/tex]EXPLANATION:[tex]\text {Choose the expression that completes the equation}\\24/6+20=?[/tex]
To complete the equation, we will need to use the order of operations(PEMDAS). Let's start with division since that's the highest in the order.
[tex]24/6=4[/tex]
Now let's addition since that's all that is left.
[tex]4+20=24\\24(ANSWER)[/tex]
So now let's complete the equation.
[tex]24/6+20=24(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Venus is an average distance of 108.2 million kilometers from the sun. Use the conversion factor
Answers
0.72 AU is the answer
How do you solve this?
Answers
Answer:
Well one do the square root of 16
Answer:
1 and 9
Step-by-step explanation:
[tex]5-\sqrt{16}[/tex]
[tex]5+\sqrt{16\\[/tex]
The sum of prime number
less than x is 58
find an integer value for x
Answers
Answer:
58
Step-by-step explanation:
Prime Numbers = 2+3+5+7+11+13+17
= 58
A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.
Answers
Find the midpoint of points A(-3,9) and B(0, 1) graphically.
Answers
Answer:
[tex](-\frac{3}{2} , 5)[/tex]
Step-by-step explanation:
The graph is in the image
[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2}) \\\\Simplify\\\\(-\frac{3}{2} , 5)\\[/tex]
Solve 1-4 to be mark brainiest and show your work!
Answers
Answer:
Hope you understand not to sure but that's what I got
PLEASE HELP!
What percent of the circle is shaded?
Can you also explain how to get the answer?
Answers
Answer:
40%
Step-by-step explanation:
1/5 = 20%
then 2/5 would equal 40%
Answer:
40%
Step-by-step explanation:
It is 40 because if you move the two shaded then its two and if you fill in the rest you will need three more.
(6 + √27) / 3 Sorry i wrote it wrong the first time.
Answers
Answer: [tex]2 + \sqrt{3}[/tex]
==============================================
Work Shown:
[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]
The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.
That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.
After simplifying the square root, we factor out the GCF and then cancel out the 3's.
A garden table and
bench cost $897 combined. The garden table costs $47 more than the bench. What is the cost of the bench?
Answers
Answer:
472
Step-by-step explanation: First subtract the additional cost from the overall cost, than you find the value of the bench by dividing by 2, than add the additional cost to the price of the bench to find the total cost of the Garden Table.
897-47=850
850 divided by 2 = 425
425 + 47 = 472
if x - 2y = 1 and 2x - y = -4, then x + y = ?
Answers
Answer:
x + y = -5
Step-by-step explanation:
x - 2y = 1
2x - y = - 4
then:
x = 1 + 2y
then:
2(1+2y) - y = -4
(2*1 + 2*2y) - y = -4
2 + 4y - y = -4
3y = -4 -2
3y = -6
y = -6/3
y = -2
x = 1 + 2y
x = 1 + 2*-2
x = 1 - 4
x = -3
Check:
x - 2y = 1
-3 -2*-2 = 1
-3 + 4 = 1
Answer:
x + y = -3 -2= -5
6.1+
4.55+
1.09 +
15.9+
3.771
Answers
Answer:
31.411
Step-by-step explanation:
6.1+4.55+1.09+15.9+3.771= 31.411
ezekiel has $250 in his bank account he deposts $35 from his birthday and then buys clothes for school for $75
Answers
Answer:
$140
Step-by-step explanation:
i assume ur asking for how much is left over
250-35= 215
215-75= 140
$140 left
Each side of a regular pentagon is m+10 inches. The formula for finding the perimeter of the pentagon is shown below.
Answers
Answer:
5m+50
Step-by-step explanation:
since it's regular all sides are equal
it's have 5 sides of m+10
[tex]P=5(m+10)\\\\P=5m+50[/tex]
vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth vertex?
Answers
Answer:
1 possibility is there for the the position of the fourth vertex.
Can anyone help me with my algebra work for #14 and #15?
Answers
15. EDF,FDE,ED,FD,DE and DF
(i think this is correct)
Which one is from greatest to least?
A : -15, -8, 10, 12
B : 12, 10, -15, -8
C : 12, 10, -8, -15
D : -15, -8, 12, 10
HELPPP!! ASAP!!
Answers
Answer:
C is correct!
12,10,-8,-15
C: 12, 10, -8, -15
SIMPLIFY THE EXPRESSION THEN MATCH TO ANSWER (USE ORDER OF OPERATIONS) PLS HELP I DONT UNDERSTAND TY I APPRECIATE IT
Answers
plz I need a link to solve that
What is the solution to this equation?
–14x = 70
A.x = –5
B.x = 5
C.x = 84
D.x = –84
Answers
Answer:
x = − 5
Step-by-step explanation:
Divide each term by − 14 and simplify.
Answer: x =5
Step-by-step explanation:
14x/14= 70/14
X = 5
PLEASE HELP !! Which is the equation of a line that has a slope of 1/2 and passes through point (2,-3)
Answers
Answer:
y = 1/2x - 4
Step-by-step explanation:
You would use point slope to solve this. y-y = m(x-x) with your numbers it would look like this ---> y+3 = 1/2(x-2). (I changed it to +3 because y- -3 = y+3. Two negatives make a positive.) Next you would use the distributive property and it would look like this ---> y+3 = 1/2x - 1 -----> -3 on both sides ------->
y = 1/2x - 4. Hope this helped!!!!