What is 4 log Subscript one-half Baseline w + (2 log Subscript one-half Baseline u minus 3 log Subscript one-half Baseline v) written as a single logarithm? 4 log Subscript one-half Baseline 2 Superscript 4 Baseline u squared minus v cubed
Answers
The correct answer is B).
The single solution is [tex]log_\frac{1}{2} \frac{w^{4}u^{2} }{v^{3} }[/tex].
What is logarithmic?The exponent to which the base of the logarithm should be raised in order to obtain the number N is the logarithm of any number N, if interpreted as an exponential form. Numerous astronomical and scientific calculations involving large numbers can benefit from its use. As an inverse of the exponential function, logarithmic functions are closely related to exponential functions.
Given Equation
[tex]4log_\frac{1}{2} w + (2log_\frac{1}{2} u - 3log_\frac{1}{2} v)[/tex]
[tex]mlog_an = log_an^{m}[/tex]
equation is
[tex]log_\frac{1}{2} w^4 + (log_\frac{1}{2} u^2 - log_\frac{1}{2} v^3)[/tex]
and [tex]log_an - log_am = log_a\frac{n}{m}[/tex]
and [tex]log_an + log_am = log_amn[/tex]
[tex]log_\frac{1}{2} w^4 + (log_\frac{1}{2} \frac{u^2}{v^3} )[/tex]
and [tex]log_\frac{1}{2} \frac{w^{4}u^{2} }{v^{3} }[/tex]
Hence the equation is [tex]log_\frac{1}{2} \frac{w^{4}u^{2} }{v^{3} }[/tex].
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Related Questions
Help!
Write 3*3*3*3 in exponential form.
Answers
Answer:
3⁴
Step-by-step explanation:
3*3*3*3 is equal to 3⁴
Using the order of operations, which operation in the given expression should we complete first? 3 6 X 5 - 3 = 3 OA) Multiply 6 and 5. OB) Divide 3 by 3. OC) Cube 3. OD) Subtract 3 from 5.
Answers
Select all ratios equivalent to 3:4.
Answers
Answer:
12:16 and 6:8
Step-by-step explanation:
12:16 = 3 * 4:4 * 4
6:8 = 3 * 2:4 * 2
The answer is 12:16
If helpful, Branliest please!
What are the coordinates of POINT A?
A.)1,2
B.)-1,2
C.)2,1
D.)1,-2
Answers
Good luck!
The diameter of a truck s tire is 50 inches. How far down the road will the tire travel if it makes one full turn? Use 3.14
Answers
The correct answer will be given 68 points, explanation also will need to be included
Answers
Answer:
74
Step-by-step explanation:
3 3/7 , 4 2/7, 5 1/7, .... 66
=> could be changed into :
24/7, 30/7, 36/7, ...... 462/7
let the numbers = n
462 = 24 + (n-1)(6)
462 = 24 + 6n -6
462 = 6n +18
6n=462-18
6n = 444
n = 444/6 = 74
Is –862 ÷ 1 positive or negative?
Answers
Answer:
Negative
Step-by-step explanation:
Answer:
It's negative
Step-by-step explanation:
–862 ÷ 1
= -862
and even remember that if a negative number is divided by positive the answer will be always negative
same applies here
3/2 = 5d - 1/2
solve for d
Answers
Answer:
D = 2/5 or 0.4
Step-by-step explanation:
3/2 = 5d - 1/2
move the terms
3/2 - 5d = -1/2
calculate the difference
-5d = -2
divide both sides by -5
2 = 2/5
3/2 = 5d - 1/2
+1/2 +1/2
2=5d
divide both sides by 5
D = 2/5
Rafael wants to wallpaper the back wall of his bedroom. The wall is in the shape of a rectangle. Its length is 13 feet and its width is 9 feet. Suppose wallpaper costs $7 for each square foot. How much will wallpaper cost for the wall?
Answers
Answer:
$819
Step-by-step explanation:
First we find the area of the wall so we multiply 13ft x 9ft.
13ft x 9ft = 117ft
We know each square foot is equal to $7. So now we multiply 117 x 7 to get the total cost.
117 x 7 = $819
I need the answer in the next hour please!
f(x)=2(x)^2-2, Find f(2-a)
f(2-a)=2(2-a)^2-2
Answers
Answer:
2a² - 8a + 6Step-by-step explanation:
Given function:
f(x) = 2x² - 2To find f(2 - a) substitute x with 2 - a:
f(2 - a) = 2(2 - a)² - 2 = 2(4 - 4a + a²) - 2 =2a² - 8a + 8 - 2 =2a² - 8a + 6f(x)=2(x)^2-2
[tex]\\ \rm\hookrightarrow f(2-a)[/tex]
[tex]\\ \rm\hookrightarrow 2(2-a)^2-2[/tex]
[tex]\\ \rm\hookrightarrow 2(2^2-4a+a^2)-2[/tex]
[tex]\\ \rm\hookrightarrow 2(4-4a+a^2)-2[/tex]
[tex]\\ \rm\hookrightarrow 8-8a+2a^2-2[/tex]
[tex]\\ \rm\hookrightarrow 2a^2-8a+6[/tex]
Calculate the average of the following values:
4,5,6,6,9.
Answers
Answer:
the answer is 1.65
hope this helps:)
Answer:
6
Step-by-step explanation:
Add up all the values, then divide by the total number of values--5 values, in this case.
(4+5+6+6+9)/5 = 30/5 = 6
3(x-5)+1=2+x Please put the work!!!!!!!!!!!!!!
Answers
Answer:
3(x-5)+1=2+x
3x-15+1=2+x
3x-x=2+15-1
2x=16
x=8
Answer:
x=8
Step-by-step explanation:
3(x-5)+1=2+x
Subtract 1 from both sides.
3(x-5)=1+x
Distribute the 3
3x-15=1+x
Add 15 to both sides.
3x=16+x
Subtract x from both sides.
2x=16
Divide both sides by 2.
x=8
I hope this helps!
pls ❤ and mark brainliest pls!
Help me Guess just help please
Answers
35
Step-by-step explanation:
√441 + 784 =
Add 441 and 784
√1225
Simplify
35
Explanation:
Sqrt(441 + 784)
= sqrt(1225)
= sqrt(5^3 x 7^2)
= 5 x 7 x sqrt(5)
= 35sqrt(5)
The cost at a store for a package of pens is $3 and for a three-ring binder
is $4. Write a variable expression for the cost of buying p packages of
pens and b binders. How much would 3 packages of pens and 8 binders
cost?
Answers
Hey there! I'm happy to help!
Our question tells us that the number of packages is p and that the number of binders is b.
Each package is $3, so for every p we have, we will have 3 more dollars. So we have 3×p, which is written as 3p.
The same goes for binders. For every binder, we have 4 more dollars, so we have 4×b which is just written as 4b.
An expression is just a number sentence without an equal sign, so something like 1+1 or 7x². The variables are just the letters or symbols that represent an unknown quantity (so 7x² is a variable expression).
Our total cost is going to be the cost of our packages and our binders, so we combine the 3p and 4b we previously came up with, so our expression is 3p+4b.
Now, we can plug in our amounts of each thing into the equation. We will insert our 3 packages in plae of the p and our 8 binders in place of the b to find our cost.
In algebra, you can also write multiplication as a number outside of a number in parentheses so 4(2)=8 for example.
3(3)+4(8)
9+32
41
So, the total cost is $41.
Have a wonderful day and keep on learning! :D
Solve for x.
1. xyz=y
2. s=7zx
Answers
Answer:
[tex]1)xyz = y \\ xz = 1 \\ x = \frac{1}{z} \\ 2)s = 7zx \\ x = \frac{s}{7z} \\ thank \: you[/tex]
Step-by-step explanation:
1. xyz = y
[tex] = > x = \frac{y}{yz} [/tex]
[tex] = > x = \frac{1}{z} (ans)[/tex]
2. s = 7zx
[tex] = > x = \frac{s}{7z} (ans)[/tex]
Subtract -1 3/5 ( -2 5/8 ) enter your answer as a simplest fraction by filling in the boxes
Answers
Answer:
21/5
Step-by-step explanation:
Answer:
1 [tex]\frac{1}{40\\}[/tex]
Step-by-step explanation:
i hope this helps :0
Please solve this polynomial (and explain the steps)
Answers
15x4y11+64x2y4
(42x2y11) - (27x4y11) + 64x2y4
42x4y11 - 27x4y11 + 64x2 y4
= 15x4y11 + 64x2y4
Please help me! This is very important! Who every answers first and I think that answer is really good I will mark Brainly est!!!! Please help me! I need details! Please I really need this
Answers
Im not good at coordinate graphs but I think the answer is the second one, sorry if I'm wrong!! :)
I WILL MARK AS BRAINLIEST! Solve For X and Y
Answers
Answer:
brainliest is appreciated
Please help:
First photo is the graph, second is the questions.
Answers
Answer:
i don't know ok but today is my math exam
the first 2 questions are answered i jut thought a little more context would help
Answers
I really can’t help you here buddy
GIVING BRAINLIEST, FIVE STARS AND THANKS!!!
Find the common factors of each pair of numbers
1. 18 and 63
2. 15 and 75
3. 30 and 50
4. 64 and 92
5. 26 and 78
6. 55 and 88
Answers
Answer:
9 15 10 2 26 11
Step-by-step explanation:
9
15
10
2
26
11
Find the number that makes the ratio equivalent to 6:24.
1:4
Answers
Answer: 6:24 . 1:4
*All devided by 6
If helpful, Brainliest please
Answer: 1 : 4
Step-by-step explanation:
6 is divisible by 6 and 24
so , after dividing the answer will be 1 : 4
Please help! Greatly appreciated sorry for bad quality
Answers
Answer: D
Step-by-step explanation: 15 : 5 is equivalent to 60 : 20 because you multiply both sides by 4
your welcome, hope this helps you
Help needed asap, the correct answer will get 27 points
Answers
Someone help me with questions 11 and 12 please I’ll appreciate it!
Answers
Answer:
i dont know im sorry but if u have anymore questions ask me !
Step-by-step explanation:
sorry i used the answer i just need a few point sorry!!!!!!!!!!!!!!!1
Answer:
i just need the points
Step-by-step explanation:
reverse image search it itll help
A bookshop has some fiction and non books. 2/5 of the books are fiction books. Of these, 1/5 are mystery stories. 1/3 of the non fiction books are mystery stories too. What fraction of all the books in the shop are mystery books?
Answers
Answer:
20%
Step-by-step explanation:
Step 1: Start by changing the fraction to a decimal by diving the numerator by the denominator (1 divided by 5). That equals 0.2.
Step 2: Change the decimal to a percent by multiplying it by 100%, or moving the decimal two places. That gives you 20%.
Another way of thinking about it is multiplying the numerator by 100%, then dividing that by the denominator (100% divided by 5). This gives you 20%.
Answer: 20%
Hopefully, I Helped
please help thank u!!
Answers
Answer:
[tex]2x^3-3x+4+\frac{5}{3x-5}[/tex]
Step-by-step explanation:
Use polynomial; long division to divide the two polynomials. Remember to put each polynomial in standard form, or rather organize each polynomial by their degree (exponent). The polynomial with the highest exponent will go first, then each with its varying exponent will suceed.
_____[tex]\underline{2x^2\ \ -\ \ 3x\ \ +4}[/tex]
[tex]3x-5[/tex] | [tex]6x^3 - 19x^2+27x-15[/tex]
[tex]\underline{-6x^3+10x^2}[/tex]
[tex]-9x^2+27x[/tex]
[tex]\underline{+9x^2-15x}[/tex]
[tex]12x-15[/tex]
[tex]\underline{-12x+20}[/tex]
[tex]5[/tex]
Need answers plus steps on how you got the answer :)
1. 187.5 + 41.26
2. 238.7 - 129.43
3. 15.48 X 0.75
4. 61.8 ÷ 0.6
5. 4/9 ÷ 12/27
6. 4 1/4 ÷ 1 7/8
7. (7 - 1) 2[exponent] + 2 4[exponent] - 8
8. |21| - |-9|
9. What is the difference between the points (28, -12) and (28,6)?
10. It cost $6 for an 8 OZ bag of chips. How much does 1 OZ cost?
11. Convert 0.04 to a percent.
12. Convert 0.14 to a fraction
13. Solve for X: x - 22 = 13
14. Calculate the perimeter [4 3/4 ft 2 1/4 ft]
15. Calculate the area [9 ft 10.5 ft]
16. Calculate the Mean: 24, 27, 31, 21, 27
Answers
The subtraction problem 11.5−7.2 can be rewritten as the addition problem _[blank]_.
Answers
The subtraction expression 11.5−7.2 in the form of addition will be 11.5 + 7.2.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression of subtraction is,
E = 11.5−7.2
The expression in the form of addition will be converted by changing the sign of 7.2.
E= 11.5 - (-7.2)
E = 11.5 + 7.2
Therefore, the subtraction expression 11.5−7.2 in the form of addition will be 11.5 + 7.2.
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