The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The logarithmic expression is given as
[tex]2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)[/tex]
We know that formulas
[tex]a \log b = \log b^a\\\\\log a + \log b = \log ab[/tex]
Then we have
[tex]\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})[/tex]
More about the logarithm link is given below.
https://brainly.com/question/7302008
Answer:
B
Step-by-step explanation:
Edge 2022
Olivia needs 54 licks for every 3 lollipops they eat.
Answer:
so what is the question ??
I need help hehe? Dshbs
Answer:
Half
Step-by-step explanation:
[tex]\left(\dfrac{22}7 - \dfrac 23 \right) \div 2 = \left(\dfrac{22}7 - \dfrac 23 \right) \times \dfrac 12[/tex]
Matt mixes 4 pints of ice cream and 1 1/2 pints of milk to make a milkshake. He drinks 2 cups of the milkshake. How many cups are left?
Find the area of the rectangle
Pls hurry and answer!!
Answer:
5.4
Step-by-step explanation:
3/5 x 9 is 5.4. To find the area of a rectangle you need to multiply the length times the width.
Pls help me with these
6. d = 24 and w = (-4)
[tex]-\frac{d}{6} -5-8w=-\frac{24}{6} -5-8(-4)=-4-5+32=23[/tex]
7. n = 7 and d = 2
[tex]-7d +2(6n - 9)\\ = -7(2) + 2(6(7) - 9) \\= -14 +2(42-9)\\=-14+2(33) = -14 + 66 = 52[/tex]
8. d = (-6) and w = (-9)
[tex]8-\frac{d}{3} +6w=8-\frac{(-6)}{3} +6(-9)=8+2-54 = -44[/tex]
9. s = 4 and z = (-5)
[tex]\frac{8}{s} +3+4z=\frac{8}{4} +3+4(-5)=2 + 3 - 20 = 5 -20 = -15[/tex]
Hope that helps!
The states had many _____________ soldiers who had fought in the American Revolution.
Mark brainiest correct answers pls
Answer:
5.11) Radius ~~- D
5.12) 5 Hours 23 Mins ~~- C
Step-by-step explanation:
Hope this helps
Answer:
11) D. 10) C.
Step-by-step explanation:
Which expression is equivalent to
?
2
od
1
4
062
2
LN Leyla
o
Answer:
2nd one is correct.....
Which expression is NOT equivalent to 2/3 x 4
A (2x4) /3
B 1/3 x (2x4)
C (4 x 1/3) x 2
D (2 x 1/3) + (4 x 1/3)
Answer:
I think c
Step-by-step explanation:
Please help I will give brainliest.
Answer:
a = 3 , b = 8 , c = 4
Step-by-step explanation:
the standard form of a quadratic equation is
ax² + bx + c = 0
3x² + 8x + 4 = 0 ← is in standard form
with a = 3, b = 8, c = 4
A water tank holds 36 gallons
of water. A new water tank holds
25% more water. How many
gallons of water can the new
water tank hold?
how to do? teacher doesn’t really teach
Answer:
53°
Step-by-step explanation:
law of sines
15/1 = 12/sinx
sinx = 0.8
x=53°
50 POINT PLEASE HELP!!!
only answer if you know
(if you only know one thats fine)
Answer:
Since its on a workbook, I think what your supposed to do for the shapes is measure the given side, say the line for the first question for a square was 2 inches, then you would have to put the rest of the sides 2 inches as well, paying attention to the angle measures.
each angle is 90° in a square, 120° for a hexagon, and the rest should hopefully be do-able.
Guess the rule and enter the missing number in the sequence. 23, 20, 17, 14,
Answer:
11
subtract 3
Step-by-step explanation:
The numbers are getting lower in value as you go,
So that means it is a subtracting sequence,
Take the first two numbers and subtract them,
23 - 20 = 3
So now subtract 3 from the others and see if it works,
20 - 3 = 17
17 - 3 = 14
14 - 3 = 11
11 is the missing number
Yep, it works,
Hence the sequence is to subtract three.
What is equivalent to 4(w+3) - 2
SELECT ALL THAT APPLY
A: 4w + 3 - 2
B: 4w + 12 - 2
C:4w + 10
D:14w
E:4w + 12 - 8
F:4w + 4
help me please need help
Step-by-step explanation:
.......................
a locker combination consist of 3 digits the digits are numbers 0-9 which is a possible number of combinations?
A. 1,000 combinations
B. 720 combinations
C. 120 combinations
D. 100 combinations
Answer:
720
Step-by-step explanation:
If order mattered, we would say select the first number (10 choices), then the second (9 choices) then the third (8 choices). So there would be 10 x 9 x 8 = 720 possible choices.
What is the value of x in the equation 2 – 11x = 4x + 17?
Answer:
-1=x
Step-by-step explanation:
2-11x=4x+17 Given
2(+11x)-11x=4x+(11x)+17 Subtract 11x from both sides
2=15x+17 Simplify
2 (-17)=15x (-17) +17 Subtract 17 from both sides
-15=15x Simplify
-15/15=15x/15 Divide both sides by 15 (isolate x)
-1=x Simplify
x=-1
Step-by-step explanation:
2-11x=4x+17-11x-4x=17-2-15x=15-15x÷-15=15÷-15x=-1Find the length of the third side. If necessary, round to the nearest tenth. 25 20
Answer:
15
Step-by-step explanation:
[tex]using \: pythagoras \: theorem \\ let \: the \: unknown \: side = x \\ 25 {}^{2} = x {}^{2} + 20 {}^{2} \\ 625 = x {}^{2} + 400 \\ x {}^{2} = 625 - 400 \\ x {}^{2} { = 225} \\ x = \sqrt{225} \\ x = 15 \\ lenght \: of \: the \: third \: side = 15[/tex]
25) 3 NaHCO3
Na
H = C =_0 =
On a long hike Keiko drank 5 pints of water. How much did she drink in quarts
Triangle IJK is dilated by a scale factor of to form triangle I'J'K'. Side J'K' measures
13. 5. What is the measure of side JK?
Answer:
18
Step-by-step explanation:
JK * 3/4 = J'K'
JK * 3/4 = 13.5
JK = 13.5 : 3/4
JK = 13.5*4/3
JK = 18
Answer: JK = 7
Step-by-step explanation:
Scale Factor = 2
Just divide 14 by 2 and you get you answer.
Sasha's mom bought a container with 150
bracelet beads for Sasha's birthday party.
There were 8 girls at the birthday party to
equally share the beads. Between what two
amounts of beads should each girl receive?
Answer:
between 18 and 19
Step-by-step explanation:
150/8= 18.75
if you answer these question i chose 15 points
Answer:
5. angle A=40
6. angle C= 80
7. angle C= 110
Step-by-step explanation:
In all three questions, it says angle B= angle A+ angle C
So for each when it gives you angle B and one of the others, you just subtract either angle A or angle C from the total angle (B) to find the other. For example, for question 5, it asks for angle A saying that B is a right angle and c equals 50. Well, a right angle is 90 degrees. So to find angle A, you do 90-50.
please look at this and help it's really tough and hard i'm in midlle school not high school but please help
Answer:
19.1
Step-by-step explanation:
Answer:
circumference = 2*3.14*r
6.28r=120m
r= 19.1
Baxter has a sandbox that holds Kinetic sand. The diagram
below shows the dimensions of the sandbox.
Baxter’s dad fills his sandbox to half its capacity. Which equation
can be used to find the volume of the sand in Baxter’s sandbox?
V=12(4+334+1112)
V=(4)(154)(1112)
V=12(4⋅334⋅1112)
Not here
It's a cuboid
Length=L=3-3/4=3.75ftBreadth=11/12ft=0.92ftHeight=H=4ftVolume:-
LBH3.75(0.92)(4)13.8ft²Answer:
The volume will be 13.8
which is not here
Step-by-step explanation:
Given :
breadth = 11/12 ft = 0.92 ft
height = 4 ft
length = 3 _ 3/4 ft = 3.75 ft
The volume of cuboid is l×b×h
=> 0.92 × 4 × 3.75
=> 13.8
After crafting the function below, Brenda noticed at one point was missing. Which of the following is missing point in Brenda’s graph?
Using the function concept, it is found that the missing point was of (0,3), hence option A is correct.
What is the condition for a function?In a function, one value of the input can be related to only one value of the output.In a graph, it means that for each value of x(horizontal axis), there can only be one respective value of y(vertical axis).In the given graph, values are already defined for x = 1, x = 2 and x = 3, while no value is defined for x = 0. Hence, the missing point was of (0,3), and option A is correct.
More can be learned about the function concept at https://brainly.com/question/12463448
How do you solve this question
Answer:
x = 8
Step-by-step explanation:
2(13x + 12) = 70 + 20x + 2
26x + 24 = 72 + 20x
-20x -20x
6x + 24 = 72
-24 -24
6x = 48
÷6 ÷6
x = 8
14. At the circus a clown is shot from a cannon. This situation can be modeled by the
function: h = -16? + 367 +15, where “h" is the height in feet and "t" is the time in
seconds.
a. What is the maximum height of the clown?
b. How high is the clown after 2 seconds?
C.
How many seconds would it take for the clown to hit the ground the height would
be h=0)?
Answer:
h=366
Step-by-step explanation:
Manny wants to find ways to reduce his current debt. the table below shows manny’s monthly income, expenses and net income. monthly budget amount income wages $3,000.00 expenses rent $1,200.00 utilities $269.34 entertainment $220.00 food/clothes $368.00 cell phone $89.42 credit card
Manny could spend less on food and clothes and put the money towards his credit card payment, as she is spending $368 on foods and clothing.
What is debt?It is defined as the amount one party needs to pay to another party as the first party borrowed an amount which will credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
As we can see, the Manny is spending amount of $368 and the other expenses are not flexible means to all other expenses are fixed expenses.
According to the data, Manny should spend less on food and clothes and put the money towards his credit card payment.
We know the expression for the monthly payment is given by:
[tex]\rm M = P \frac{r}{(1-(1+r)^{-nt})}[/tex]
Where P is the principal amount
r is the interest rate.
M is the monthly payment
t is the time
n is the number of times the amount compounded.
Thus, Manny could spend less on food and clothes and put the money towards his credit card payment, as she is spending $368 on foods and clothing.
Learn more about the debt here:
https://brainly.com/question/17286021