The solution of the logarithmic function log₂₇165 found using logarithmic properties is :
(1 + log ₃55)/3.
What is a logarithmic function?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. The usage of logarithmic functions makes it simple to determine some of the non-integral exponent values. The common logarithmic function, which has a base of 10, is identified by the symbols log₁₀ or log.
We are asked to solve the following logarithmic function.
log₂₇165
Here the base of the log is 27.
According to logarithmic properties, we can write the above functions as:
log₂₇165 = log 165 / log 27
If we are dividing the numerator and denominator by log 3, then the new base will become 3.
(log 165 / log 3) / (log 27/log3) = log ₃165 / log₃ 27
Now we can solve as follows,
log ₃165 / log₃ 27 = log ₃(3*55) / log₃ (3³) = [log ₃(3)+log ₃(55)] / 3log₃3
= (1 + log ₃55)/3
Therefore the solution of the logarithmic function log₂₇165 is
(1 + log ₃55)/3.
To learn more about logarithmic functions, follow the link.
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approximate 10.56 to the nearest whole number
Answer:
11.
Step-by-step explanation:
As the first decimal place is 5 we round up the whole number.
Answer:
11
Step-by-step explanation:
See image below:)
What is the common ratio of the geometric sequence below 625,125,25,5,1,...
Answer: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
In the geometric sequence we can see each time we are dividing by 5. That is the same as multiplying by [tex]\frac{1}{5}[/tex] so that is the common ratio.
factorise a2-17a+42
Answer:
(a-14) (a-3)
Step-by-step explanation:
Answer:
(a - 14) (a - 3)
Step-by-step explanation:
a² - 3a - 14 a + 42
a(a - 3) - 14 ( a - 3)
(a - 14) (a - 3)
What is x3 – 25x factored completely
Answer:
x(x2-25)=o
x=0;x=5 and -5
Answer:
[tex] {x}^{3} - 25x \\ = x( {x}^{2} - {5}^{2} ) \\ = x(x - 5)(x + 5)[/tex]
please yelp me find the area
Need help in understanding how to solve this problem.
>> Find an equation of the plane through (−2,3,2) and parallel to the plane 3x+y+z= 4
Answer:
Step-by-step explanation:
3x+y+z= 4
3x+ y = 4 - z
y = 4-z-3x
We then make parallel
y-2 = 4−z−3x
y-2 = 4-2 -z-3x
y-2 = 2-z-3x
y = -z-3x+2
What is the MINIMUM of the data set: 35, 20, 30,25, 20?"
a. 15
b. 20
c. 35
d. 25
Answer:
B) 20
The minimum of a data set is the smallest term of that set.
We arrange the terms in ascending order
→ 20,20,25,30,35
So, the minimum is 20
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hope it helps...
have a great day!!
missing coordinates to complete the following ordered pair y+4x=7
Answer:
(1,3)
Step-by-step explanation:
This might be wrong, sorry.
y+4x=7
I would think the pair is
(1,3)
3
Solve for x.
X =
8
20
35
Answer:
x=00
Step-by-step explanation:l
nnm
Find the volume of the triangular prism.
Answer:
33.55 m³
Step-by-step explanation:
volume is base area times height.
the base area is a right-angled triangle (a×b/2).
At = 2.5×4.4/2
the height is 6.1
the total volume is then
2.5×4.4×6.1/2 = 33.55 m³
Examine the triangle below. Use it to answer question 31.
Question 3
What type of trangle is shown?
Acute Equilateral Triangle
Acute Scalen Triangle
C. Obuse Scalene Triangle
D. Right Isosedes Triangle
Answer:
It’s blurry but I think it’s an obtuse triangle
Step-by-step explanation:
Maybe a right triangle
What is the value of a?
Answer:
a = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]c^{2}[/tex] = [tex]18^{2}[/tex] (pythagoras theorem)
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]4^{2}[/tex] (pythagoras theorem)
[tex]c^{2}[/tex] + [tex]b^{2}[/tex] = [tex]22^{2}[/tex] (pythagoras theorem)
From these 3 equations we can find the value of a
Point M is located at (3,-2) on the coordinate plane. Point M is reflected over the
x-axis to create point M'. What ordered pair describes the location of M'?
The answer would be (3,2) because you would do (x,-y)
Mary wants to fill a cylindrical cup with water. The dimensions of the cup are labeled below.
Radius: 6cm
Height: 15cm
How much water can Mary put in the cup without it overflowing?
A. 1,620
B. 540
C. 270
D. 180
Step-by-step explanation:
Volume of cylinder: πr²h
= π(6)² x 15
= 36π x 15
= 1620 cm³
Answer: A
Answer:
B. 540 picm3
Step-by-step explanation:
(6)2 X 15= 540
Slope and equation, how much battery does she lose an hour
ILL GIVE BRAINLIEST IF YOU GET IT CORRECT AND EXPLAIN
The linear expression -12x-18 can be written equivalently as the expression a(bx+3) where a and b are integer values.What is the value of a that makes the statement true.
What is the value of b that makes the statement true.
Answer: so a can be -2 and b can be 6, note that there are many combinations since u can factor all types of stuff out including fractions
Step-by-step explanation:
a(bx+3) basically is just factoring out a random common factor between -12x and -18
so we can factor out a -2 to get -2(6x+9)
Which temperature is warmer, -8 degrees Celsius, or -20 degrees Celsius?
Answer:
-8 degrees Celsius is warmer
Answer:
-8 degrees C.
Step-by-step explanation:
A 12 SIDED DIE WITH SIIDES LABLELED 1-12 ARE ROLLED ONCE. EACH NUMBER IS LIKELY TO BE ROLLED .WHAT IS THE PROBABILITY OF ROLLING A NUMBER GREATER THAN 10
Answer:
p=.1666
11 or 12
2 out of 12
2/12
1/6
p=.1666
Step-by-step explanation:
Find the slope of the line passing through the given points?
(-11,7) and (-11, -2)
Answer:
oo (infinite)
Step-by-step explanation:
the slope = (-2-7)/(-11+11) = -9/0 = oo
(infinite)
How many square metres is equivalent to 12 370 cm2?
please answser ASAP
Answer:
the answer is 1.2370 .. give me brainliest
1/2(x-6.5) = 3.16 what is x?
Answer:
x =12.82
Step-by-step explanation:
1/2(x-6.5) = 3.16
Multiply each side by 2
1/2(x-6.5) *2 = 3.16 *2
(x-6.5) = 6.32
Add 6.5 to each side
(x-6.5+6.5) = 6.32+ 6.5
x =12.82
Answer: 12.82
Step-by-step explanation:
1/2(x-6.5)= 3.16
x=12.82
Each Friday, the sixth grade students in Mr. Shin's physical education class spend the first five minutes doing crunches. Instead of keeping track of the weekly total number of crunches, Mr. Shin keeps track of how they do compared to the week before, and then records the result as a positive or negative number. Record the number for each of the following:
Ben did 10 more crunches this week than last week. What number would Mr. Shin record?
Gail did 8 less crunches this week than last week. What number would Mr. Shin record?
Nathaniel did the same number of crunches this week as last week. What number would Mr. Shin record?
Answer:
I guess it would go
Ben did:+10
Gail:-8
Nathaniel:0
Step-by-step explanation:
hope this was what you wanted
best of luck
if m<1 = 23^ and m<2 = 32^, find the measures of all other angles
Step-by-step explanation:
given,
m1=23°
m2=32°
m3=m1+m2+m3=180°{straight angle}23+32+m3=180°m3=180-55°m3=125°m3=m6{vertically opposite angle r equal}m6=125°m2+m3+m4=180°(straight angle)m4=180-157°m4=23°m3+m4+m5=180°{straight angle}m5=180-148°m5=32°hope it helps
stay safe healthy and happy....Will mark brainliest! Problem is in pic below, no links please. Thanks.
Answer: The answer is D) $3.35
Step-by-step explanation:
Well if we want to see the price of beef and chicken the same we should use the same variable for them making the equations
[tex]y=2.35+.25x\\y=1.75+.4x[/tex]
now let's subtract the equations for elimination
[tex]y=2.35+.25x\\-y=1.75+.4x\\\\=\\0=.6+-.15x[/tex]
now let's solve for x
[tex]0=.6-.15x\\0-.6=.6-.15x-.6\\-.6=-.15x\\\frac{-.6}{-15} =\frac{-.15x}{-.15} \\4=x[/tex]
now let's sub x into the original equations
[tex]y=2.35+.25(4)\\y=2.35+1\\y=3.35\\\\y=1.75+.4(4)\\y=1.75+1.6\\y=3.35[/tex]
My mom is making me do prayice and i need the answer for this thanks very much
Please help me no links!!
Answer:
Slope is -3
y-intercept is -3 and equation is y=-3x-3
Answer:
Slope: -3
y-intercept: -3
Equation: y = -3x - 3
Step-by-step explanation:
1. To get the slope (m):
m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards
2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)
3. Put is all together: y = -3x - 3
Which type of sequence is shown? -2, 0, 2, 4, 6, . . .
Answer:
The type of sequence that is show is an arithmetic sequence
Step-by-step explanation:
PLEASE HELP ME WITH THIS
9514 1404 393
Answer:
3. $0.45
4. 50%
5. -5°, -1°, 1°, -2°, 5°
Step-by-step explanation:
3. The difference in tip amounts is ...
15%($25) -15%($22) = 15%($25 -22) = 15%($3.00) = $0.45
Jasmine paid $0.45 more tip than Candice.
__
4. If 25% were sick, then the crew that showed up was 75% of the full crew. If 1/3 of those 75% went home early, then the remaining (2/3)(75%) = 50% were the fraction working at the end of the day.
__
5. The Fridays in January were Jan 2, 9, 16, 23, and 30. The middle of the month was the 16th. For something like this, it can help to read through a couple of times, as the relations are not given in a way that gives a solution without skipping around.
We are given that the temp on the 30th was 5°, and that the 23rd was 7° less, so -2°. The low on the 2nd was 3° lower than on the 23rd, so was -5°. The temp on the 16th was 6° higher than on the 2nd, so was -5+6 = 1°, and the temp on the 9th was 2° lower than that, so -1°.
The low temperatures were ...
2nd: -5°9th: -1°16th: 1°23rd: -2°30th: 5°On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
What is the perimeter of rhombus WXYZ?
the answer is 4,13 of the perimeter
Find the value of 'x
Answer:
x = 16
Step-by-step explanation:
The sum of the angles of a triangle are 180
128+ 2x-3 +23 = 180
Combine like terms
2x+148=180
Subtract 148 from each side
2x+148 -148 = 180-148
2x = 32
Divide by 2
2x/2 = 32/2
x =16
