Hi there! We are given the expression:
[tex] \large \boxed{5 log_{4}(a) - 6 log_{4}(b) }[/tex]
To condense or simplify the following logarithm. You have to remember these properties:
Properties - Logarithm
[tex] \large{ log_{b}(a)^{n} = n log_{b}(a) } \\ \large{ log_{b}(a) - log_{b}(c) = log_{b}( \frac{a}{c} ) }[/tex]
These two properties are what we need for our problem. Therefore,
[tex] \large{ log_{4}(a)^{5} - log_{4}(b)^{6} }[/tex]
We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.
[tex] \large{ log_{4}( \frac{ {a}^{5} }{ {b}^{6} } ) }[/tex]
Answer
log base 4 of (a^5/b^6) is our simplifed form.Any questions can be asked through comment as I may reply soon. Thanks for using Brainly! Have a good day and happy learning! :)
A bus is traveling at a constant speed. If the bus travels 15miles in
of an hour, how many miles will the bus travel in one
Answer:
15 miles
Step-by-step explanation:
If the bus is travelling at a constant speed of 15 miles per hour, then in 1 hour, the bus would have travelled 15 miles.
which expression is equivalent to 4 (1/6x + 2/7) ?
0 А.12/13x
B. 38/21x C. 2/3x + 2/7 D. 2/3x + 8/7
A survey was conducted to find the possible relationship between gender and the color of the car the person owns. The data is represented in the
frequency table shown.
Blue
Total
Red
53
Male
Female
Total
25
75
Black
72
45
117
30
83
150
150
300
100
What percentage of the people surveyed were females who own a blue car?
Answer:
25 %
Step-by-step explanation:
if x+x-¹ = 11, evaluate x²+x-²
A. 119
B. 120
C. 121
D. 122
no spam answers please and kindly explain ur answer.
Given x+x-¹ = 11
now square both the side
(x+x-¹)² = 11²
now open the bracket of RHS and apply (a+b)²
you'll get,
x²+2x/x+ 1/x² =121
simplify above equation you'll get,
x²+ 2 + x-² = 121
shift the equation,
x² + x-² = 121 - 2
x² + x-² = 119 !
[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?
Answer:
the correct answer is 5 snowmen
There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller number. Find the two numbers. Answer: If the smaller number is x, the equation will be . The numbers in ascending order are:
BRAINLIEST IF CORRECT
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
1) Translate the information into equations
"One is 7 more than twice the other"
⇒ [tex]y=2x+7[/tex]
"The sum of the numbers is 43"
⇒ [tex]x+y=43[/tex]
2) Use substitution to solve for the smaller number
[tex]x+y=43[/tex]
Plug the equation [tex]y=2x+7[/tex] into the above equation
[tex]x+(2x+7)=43\\x+2x+7=43\\3x+7=43[/tex]
Subtract both sides by 7
[tex]3x+7-7=43-7\\3x=36[/tex]
Divide both sides by 3 to isolate x
[tex]\frac{3x}{3} = \frac{36}{3} \\x=12[/tex]
Therefore, the smaller number equates to 12.
3) Use substitution to solve for the greater number
[tex]x+y=43[/tex]
Plug in x as 12
[tex]12+y=43[/tex]
Subtract both sides by 12 to isolate y
[tex]12+y-12=43-12\\y=31[/tex]
Therefore, the greater number equates to 31.
I hope this helps!
Are the dotted lines in the shape parallel, perpendicular or intersecting?
Answer:
Parallel
Step-by-step explanation:
The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.
Have a great day <3
Factorise fully 12x^3-4x^2
Answer:
4x² (3x - 1)
Step-by-step explanation:
12x³ - 4x²
4x² (3x - 1)
I need help. I will give brainlist if right answer.
Fill in the table using this function rule.
y=2+3x
Answer:
I need to see the table bro
PLEASE HELP!!!!!! In which week was the rainfall in Portland the highest and how much fell?
weekly rainfall bar graph
Week 3, 800 cm
Week 4, 1400 cm
Week 4, 1200 cm
Week 3 900 cm
Answer:
Week 4, 1400
Brainliest plz
Step-by-step explanation:
Answer:
Week 3 and 900 cm
Step-by-step explanation:
Brainliest Please!
Which of the x-values are solutions to the following inequality?
x < 21
Choose all answers that apply:
A:
x= 3
B:
x= 21
C:
x= 200
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 6, 3, ...
Answer:
The sequence is geometric
The common ratio is 0.5
Step-by-step explanation:
In the arithmetic sequence, there is a common difference between each two consecutive terms
In the geometric sequence, there is a common ratio between each two consecutive terms
Let us check the given sequence
∵ The first 3 terms are 12, 6, 3
∵ 6 - 12 = -6
∵ 3 - 6 = -3
∵ There is no common difference between the consecutive terms
∴ The sequence is not an arithmetic sequence
∵ 6 ÷ 12 = 0.5
∵ 3 ÷ 6 = 0.5
∴ There is a common ratio between each two consecutive terms
∴ The sequence is a geometric sequence
∴ The common ratio is 0.5
Find x and y, when AB and MN are similar
Please I need your help quickly
Answer:
x is 5 but sorry I can't Find the value of y
Answer:
y=3
x=5
Step-by-step explanation:
it's similar so CN =NB
that means y=3
so MN=AB
x=5
Select all the correct answers.
Which expressions are equivalent to this exponential expression?
Answer:
(-2^2)^-6 / (2^-5)^-4 ---> 2^-32
(2^2)^2 x (2^3)^-3 ---> 2^-5
2^4 x (2^2)^-2 ---> 1
(-2^-4)^-2 x (2^2)^0 ---> 2^8
In a box containing 20 cans, 12 of the cans contain vegetables. In the box, 5 of the cans are dented, with 2 of the dented cans containing
vegetables
What is the probability that a randomly selected can in the box is dented or contains vegetables?
OA 65%
OB. 75%
OC. 95%
OD 85%
Answer: B.) 75%
Step-by-step explanation:
12 cans contain veggies and 5 cans are dented, since two of the dented cans contain veggies don't count those two. This means you'll add 12 and 3 which equals 15. 15 out of 20 is an example of three fourths or 75%.
Find the inverse function.
x - 3
f(x) =
+ 2
5
f-1(x) = [ ? ]x + [ ]
The Movie Haven is planning to order new medium-size popcorn containers. It has a choice of four different containers. It costs the company $0.02 per cubic inch of popcorn to fill a container. The company does not want the new container to cost more than $3.00 to fill. Which container should the company use? Use 3.14 for Pi.
Container A
A cylinder with height 5 inches and diameter 7 inches.
Container B
A cylinder with height 6 inches and radius 3 inches.
Container C
A cylinder with height 12 inches and B = 11.14 inches squared.
Container D
A cylinder with height 10 inches and diameter 6 inches.
container A
container B
container C
container D
Answer:
only option less than $3 is (C)
Step-by-step explanation:
Volume(cylinder) = πr²h or Bh
I used the guess-and-check method and got the following:
A) 3.85
B) 3.39
C) 2.67
D) 5.65
Calcule: a) ( - 7 ) . ( + 3 ) . ( - 2 ) * 1 ponto + 42 - 12 - 42 b) - 4 . ( + 3 - 2 + 5 ) * 1 ponto - 12 - 24 + 24
Answer:
a) 42
b) -24
Step-by-step explanation:
Recordar las reglas de los signos:
(-)*(-) = (+)
(+)*(-) = (-)
(-)*(+) = (-)
(+)*(+) = (+)
Tambien la propiedad distributiva:
A*(B + C + D) = A*B + A*C + A*D
Queremos calcular:
a) (-7)*(+3)*(-2)
Los primeros dos terminos dan:
-(7*3)*(-2) = -(21)*(-2) = (-21)*(-2) = +(21*2) = +42
b) -4*( + 3 - 2 + 5)
= (-4)*(3) + (-4)*(-2) + (-4)*(5)
= - 12 + 8 - 20 = 8 - 32 = -24
A 2-gallon jug of juice costs $10.88. What is the price per cup?
Answer:
it's ¢.34
Step-by-step explanation:
a gallon has 16 cups
since there are two gallons that's 32
the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34
;)
What is your favorite song from...
Ariana Grande?
Selena Gomez?
Doja Cat?
Answer for all of them.
Answer:
Side to side
I love all of hers
And streets
Answer:
Not really a math question but I'll answer anyway (I don't really listen to Doja Cat, so I don't have one)
Step-by-step explanation:
Ariana Grande: Positions
Selena Gomez: Wolves
Have a good day :)
ASAP PLEASE HELP AND EXPLAIN!!!!!!!!
Pls pls help me !!!!
Evaluate the expression and identify any domain restrictions. Use order of operation.
Answer:
Its in the picture so you can understand it better.
Step-by-step explanation:
SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.
Answer:
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
Step-by-step explanation:
Please help me with this i didn’t get the answer
nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey
Answer:
B. 50 students in her school
Step-by-step explanation:
Every other answer is at a seperate place designed to help someone in a specific field, besides the school.
What is the surface area of the prism?
1.
5 in.
4 in.
5 in
Answer:
140
Step-by-step explanation:
Luka buys 210 coat hangers.
The coat hangers are sold in boxes.
There are 35 coat hangers in each boz.
Each box of coat hangers costs £19.50
Work out the total cost of the boxes of tiles Luka buys.
Answer:
$117
Step-by-step explanation:
[tex]210 \div 35 = 6[/tex]
[tex]19.50 \times 6 = 117[/tex]
I need it today please
Answer:
$207.66
Step-by-step explanation:
30% off is the same as saying there is 70% not off, and 70% is the same as 0.70
0.70*349= 244.30
15% off is the same as saying 85% is not off, and
85% is the same as 0.85
0.85*244.30=207.655
because it's money, you round to 2nd decimal place
$207.66
hope this was helpful :)
PLEASE HELP!!! Which number line shows the solution 2/3x-5>3
Answer:
last option is the answer; all values greater than 12
Step-by-step explanation:
2/3x - 5 > 3
2/3x > 8
x > 24/2
x > 12
Answer:
the last one
Step-by-step explanation:
I took the test