What is 2 log 5 + 5 log x written as a single logarithm?

Answers

Answer 1

Answer:

log (25 x^5)

Step-by-step explanation:

2 log 5 + 5 log x

We know alog b = log b^a

log 5^2 + log x^5

We know log a + log b = log (a*b)

log ( 5^2 * x^5)

5^2 = 25

log (25 x^5)

Answer 2

Answer:

log ( 25x⁵)

Step-by-step explanation:

2log5 + 5log x

use a×log × b = log b^a to transform the expression.

log 5² + log c⁵

use log x + log y = log ( x×y ) to simplify the expression

log ( 5² x⁵)

Evaluate the power

log ( 25x⁵)


Related Questions

please help guys its urgent

Answers

upen saves the most of his salary every month

Answer:

option B : Upen

Step-by-step explanation:

To find who saves the greatest. Find who spent the least.

That is find the smallest of these fractions.

To find the smallest among the fraction:

Step 1 : make the denominators the same.

Step 2 : to make denominators same find LCM of 8, 4, 3, 6

Step 3: LCM = 24

[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]

[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]

So 2/3 is the smallest fraction,  which means 2/3 spent the least amount from the salary.

Therefore, Upen saves the greatest amount every month.

Find the sum of the arithmetic series...........
3 + 5 + 7 + 9 + 11 + for 100 terms.

Answers

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]

If g(x) = √x and h(x) = x^3 - 1, what is g(h(4))

Answers

Answer:

Here, given

g(x) = √x

h(x) = x³-1

For gh(4) , we have to find gh(x), so,

gh(x) = g(x³-1)

        =√x³-1 [Note⇒root is both for x³ and 1]

Now,

gh(4) = √4³-1

        = 3√7 or 7.9

Hope it helps!

To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver’s license?

17%
19%
36%
70%

Answers

Answer:17

Step-by-step explanation:

Because i know its the right answer and i guessed sorry if its wrong

Answer:

17

Step-by-step explanation:

A bakery offers a sale price of $2.75 for 3 muffins. What is the price per dozen

Answers

Answer:

4 muffins is $2.75

4*3=12

1 dozen is 12

2.75 * 3 =$ 8.25

Step-by-step explanation:

Find the length of side XZ in the right triangle shown, Y 37 meters 12 meters ? meters X Z z Tags​

Answers

Vnn GB TV fun rn huh Jit ex

Answer: 35 meters got it right on TTM

A:6 and 30
B:8 and 28
C:4 and 16

Answers

Answer:

C?

Step-by-step explanation:

find the mean of 11,7,2,8​

Answers

mean=7

Answer:

n=4

sum =11+7+2+8=28

MEAN=sum/n=28/4=7

Answer:

The Mean is 7.

Step-by-step explanation:

Mean, or average is when you find a number that is reperesentative of the set as a whole.

To find this we add up all the values and divide it by how many values there are.

11 + 7 + 2 + 8 = 28

28/4 = 7

A line of best fit....?

a) must pass through the median of the data
b) must pass through the origin
c) represents the trend of the data
d) must have a positive slope

Answers

I’m pretty sure the correct answer is C

What is the slope of the line that passes through the points (3,4) and (0,-2)

Answers

Answer:

slope of a line is 2/3

Step-by-step explanation:

the coordinate points are:

(3,4)=(x1 , y1)

(0,-2)=(x2 , y2)

slope=y2 - y1/x2 - x1

=-2-4/0-3

=-2/-3

=2/3

In the diagram beside QRS is a straight line QP/RT ‹ PRQ = 56 ‹ QPR = 84 and ‹+RS X° X find x​

Answers

Answer:

x = 40

Step-by-step explanation:

< PQR = 180° - (84° + 56°)

= 40°

so x = 40° (corresponding angles QP// RT)

someone help me please. this is annoying. which ones are right?​

Answers

9514 1404 393

Answer:

  B, C, D, E

Step-by-step explanation:

A square has all side equal, opposite sides parallel, and all angles equal (90°). Because all sides are equal, so are adjacent sides. All but the first and last descriptions apply to a square.

The first description is that of a trapezoid, which has exactly one pair or parallel sides. The last description is that of an isosceles (right) triangle, which has sides that are referred to as "legs."

According to the table below, which of these is a possible taxable income for
a taxpayer filing with the Single filing status in the 25% federal income tax
bracket?
Single
Taxable
But not
income is
Bracket
over
over
$0
8.350
10%
8.650
33.950
15%
33,950
82 250
25%
82,250
171,550
28%
171,550
372,950
33%
372,950
35%

Answers

Based on the table, a possible taxable income for a taxpayer filing with the Single filing status is $50,000.

What is taxation?

Taxation can be defined as the involuntary (compulsory) fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public institutions and activities.

Based on the table, the range of income for a married couple that is filing singly in the 25% federal income tax bracket is $33,950 to $82,250.

This ultimately implies that, a possible taxable income for a taxpayer filing with the Single filing status is $50,000.

Read more on tax here: https://brainly.com/question/25783927

Answer:

$137,050

Step-by-step explanation:

That is the correct answer on the test.

A boat heading out to sea starts out at Point AA, at a horizontal distance of 804 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.

Answers

Answer:

672 feets

Step-by-step explanation:

Using the solution diagram attached, the vertical height, h of the lighthouse ;

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 2 = h / 804

h = tan 2 * 804

h = 28.076 feets

Using h, we can obtain the distance CB :

Tan θ = opposite / Adjacent

Tan 2 = 28.076 / CB

CB = 28.076 / Tan 12°

CB = 132.08860 feets

Distance between A and B

804 - 132.08860

= 671.9 feets

consider the equation of the line y=-2x+4 what is the value of y when x=2​

Answers

Answer: The value of y is 8

Step-by-step explanation:

Since we know x=2 we can sub in 2 for x in the equation

y=2(2)+4

y=4+4

y=8

Anyone can help :(((:)

Answers

The answer is 121 ! Hope this helps

Answer:

Below

Step-by-step explanation:

The area of a circle is given by A=πr². Since we know the radius, we can sub r with 11.

This gives A=11²π, which by solving the square gives A=121π.

From there, you would solve with a calculator by typing 121×π, giving a final area of 380.132711084.

**This content involves using the circle area formula, which you may wish to revise. I'm always happy to help!

Please help...*puppy eyes*
(Will pick brainliest)

Answers

Step-by-step explanation:

Note that the denominators in the expression are perfect squares:

[tex] {x}^{2} - 5xy + 6 {y}^{2} = (x - 2y)(x - 3y)[/tex]

[tex] {x}^{2} - 4xy + 3 {y}^{2} = (x - y)(x - 3y)[/tex]

[tex] {x}^{2} - 3xy + 2 {y}^{2} = (x - y)(x - 2y)[/tex]

We can then write the given expression as

[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]

[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]

[tex] = \frac{1}{(x - 2y)(x - 3y)} + \frac{a}{(x - y)(x - 3y)} + \frac{1}{(x - y)(x - 2y)}[/tex]

[tex] = \frac{(x - y)(x - 2y) {(x -3y)}^{2} + a {(x - y)}^{2} (x - 2y)(x - 3y) + (x - y){(x - 2y)}^{2}(x - 3y) }{ {(x - y)}^{2} {(x - 2y)}^{2} {(x - 3y)}^{2} } [/tex]

The nation of Finlandia has 120,000 people. Of these, 20,000 are children under 16, 72,000 have jobs, 8,000 don't have jobs but are looking for work, and 20,000 are retired. With this info, calculate the labor force participation rate and the unemployment rate.

Answers

Answer: labor force participation rate  =60%

unemployment rate = 6.67%

Step-by-step explanation:

The labor force participation rate is computed as

[tex]\text{labor force participation rate}=\dfrac{\text{Total employed persons}}{\text{Total population}}[/tex]

i.e. [tex]\text{labor force participation rate}= \dfrac{72000}{120000}[/tex]

[tex]= 0.6\ or\ 60 \%[/tex]

The unemployment rate is computed as:

[tex]\text{unemployment rate}=\dfrac{\text{Number of personsdon't have jobs }}{\text{Total population}}\\\\\text{unemployment rate}=\dfrac{8000}{120000}\\\\\text{unemployment rate}=0.0667\ or\ 6.67\%[/tex]

Hence, labor force participation rate  =60%

unemployment rate = 6.67%

Which of the quotients are equivalent to -(48/17)

Answers

Answer:

oiie4546

Step-by-step explanation:

What is the answer and how did you get it

Answers

answer is 200 lol pretty easy

Answer:

He sold 200 loaves

Step-by-step explanation:

if he sells twice as many the next week the equation would be

100 times 2 = x

therefore, the answer is 200

Find the square root of 362.1409 by division method​

Answers

19.03 hope it help :)

-----------------------

A watch that originally cost $110 has been marked down to $88. What is the percent of the markdown?

12%
10%
25%
20%

Answers

Answer:

20%

Step-by-step explanation:

110-88=22

22/110=20

Un deposito de agua tiene forma de prisma rectangular con los lados de la base de 25 y 20 metros. Calcula la altura que pueda contener 1000 metros cúbicos de agua

Answers

Answer:

La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:

Volumen= longitud*ancho*altura

Y reemplazando los valores se obtiene:

1000 m³= 25 m* 20 m* altura

Resolviendo:

1000 m³= 500 m²* altura

[tex]altura=\frac{1000 m^{3} }{500 m^{2} }[/tex]

altura= 2 m

La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

In the summer term sal wlks to school starting soon after 7 am when the hour hand is at angle of 110 degrees to the minute hand. She arrives at school before 8 am when

Answers

Answer:

She walked for 46 minutes

Step-by-step explanation:

Given

When she leaves home

[tex]h = 7am[/tex]

[tex]\theta_1 = 110^o[/tex]

When she arrives at school

[tex]H = 8am[/tex]

[tex]\theta_2 = 110^o[/tex]

Required

Time to walk to school

First, we convert [tex]\theta_1 = 110^o[/tex] to minutes:

[tex]\theta_1 = \frac{110}{6}[/tex]

[tex]\theta_1 = 18.33[/tex]

[tex]\theta_1 = 18[/tex] --- approximated

From the question, we understand that she left home past 7.

This means that the difference between the hour hand (at 7) and the minutes hand is 18 minutes.

Also, the minute hand is between 0 and 30 minutes

Subtract 18 minutes from 30 minutes;

[tex]Mins = 30-18=12[/tex]

She left home at 7:12am

Similarly;

[tex]\theta_2 = \theta_1 = 18\ mins[/tex]

From the question, we understand that she arrived before 8.

This means that the difference between the hour hand (at 8) and the minutes hand is 18 minutes

Also, the minute hand is between 30 and 60 minutes mark.

At the 8hour hand, the minutes is 40

Add 18 minutes from 40 minutes;

[tex]Mins = 40 + 18 = 58[/tex]

She arrived at 7:58am

The difference (d) is:

[tex]d =7:58am - 7:12am[/tex]

[tex]d =46[/tex]

PLEASE HELP WILL NAME BRAINLIEST NO LINKS PLEASE
Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the axis of symmetry and the vertex for this function:
h(x) = (x - 5)2 - 7.

Answers

Answer:

Step-by-step explanation:

First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.

Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).

Hope this helps!

:)


[tex] \frac{12}{20} - \frac{30}{20} [/tex]

Answers

Answer:

-9/10

Step-by-step explanation:

12/20 - 30/20

Since the denominators are the same, we can subtract the numerators

12-30 = -18

Put this over the denominator

-18/20

Simplify by dividing the top and bottom by 2

-9/10

The answer is -9/10. Hope this helps

The histogram below shows the grade ranges for Mrs. Granderson's class.
Student Scores on Test 4
10
8
6
Prequency
60-69
70 - 79
80 - 89
90 - 100
How many students earned an 80 or better on Test 4?
There were
students who earned an 80 or better on the test.

Answers

The answer is 14 , 14 student made 80 or better on test 4

Answer:

The answer is 14.

Step-by-step explanation:

All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.

ZABC and ZQRS are complementary angles. If the measure of ZABC= 41º, what is the measure of ZQRS?​

Answers

Answer:

m∠QRS = 139°

Step-by-step explanation:

yes

what is 20/100 in it's simplest form?

ik this i just wanna give someone my points lol

Answers

Answer:

1/5

Step-by-step explanation:

20/100

Divide the top and bottom by 20

20/20 =1

100/20 =5

20/100 = 1/5

Answer :-

20/100

Divide the top and bottom by 20

20/20 =1

100/20 =5

20/100 = 1/5

[tex] \tt \: \verified \: \: \: \red{ \checkmark}[/tex]

Jaclyn estimates that the square root of 50 in the following way:


[tex]\sqrt{50[/tex] = [tex]2 \sqrt{25[/tex] = 2 * 5 = 10

Explain why her reasoning is incorrect. Please use complete sentences.

Answers

[tex]\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

Error made by Jaclyn

[tex] \sqrt{50} [/tex]

[tex]\sf\red{=\:2√25}[/tex] ❌

Correct way to solve it

[tex] \sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

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