What is 2logs(5x°)+ logs(+6) written as a
single logarithm?

What Is 2logs(5x)+ Logs(+6) Written As Asingle Logarithm?

Answers

Answer 1

Given:

The expression is:

[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]

To find:

The single logarithm expression for the given expression.

Solution:

We have,

[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]

Using properties of the logarithm, we get

[tex]=\log_5(5x^3)^2+\log_5(x^2+6)^{\frac{1}{3}}[/tex]           [tex][\because \log x^n=n\log x][/tex]

[tex]=\log_5(25x^6)+\log_5\sqrt[3]{x^2+6}[/tex]

[tex]=\log_5(25x^6)\sqrt[3]{x^2+6}[/tex]          [tex][\because \log a+\log b=\log (ab)][/tex]

Therefore, the correct option is B.


Related Questions

substitiution method i really need help

Answers

Answer:

x = 7

y = 0

Step-by-step explanation:

Equation:  2x - 9y = 14

We are given that x = -6y + 7

So we substitute (-6y + 7) for "x" in the equation  2x - 9y = 14

* substitute *

2 ( -6y + 7 ) - 9y = 14

now we solve for y using basic algebra

step 1 distribute the 2

2 * -6y = -12y

2 * 7 = 14

now we have -12y + 14 - 9y = 14

step 2 combine like terms

-12y - 9y = -21y

now we have -21y + 14 = 14  

step 3 subtract 14 from each side

14 - 14 cancels out

14 -14 = 0

now we have -21y = 0

step 4 divide each side by -21

-21y / -21 = y

0 / -21 = 0

we're left with y = 0

now to find x

To find x we substitute 0 for "y" in x = -6y + 7

* substitute *

x = -6 ( 0 ) + 7

-6 * 0 = 0

we're left with x = 7

SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST












7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)
where t is the number of hours since the patient took the medicine.

b. In the equation, what does the 500 tell us about the situation?

c. In the equation, what does the tell us about the situation?

d. Graph the equation for values of t between 0 and 4.

Answers

Answer:

a. 281.25 grams

b. The 500 represent the original amount of aspirin.

c. 3/4 tells us what amount of the aspirin remains after every hour.

d's answer is in the picture. Just copy the line.

Step-by-step explanation:

A is the only part that needs any explanation.

Since the t represent hours, I'll subsititute t for 2.

500 * (3/4)²

3/4 squared is 9/16.

500 * 9/16

Multiply 500 by 9 to get 4500.

4500/16

Simplify 4500/16 to 1125/4 (4 is canceled out.)

1125/4

Divide 1125 by 4 to get 281.25

281.25

281.25 grams of aspirin will be in the patient body after two hours.

Draw and label an example of
two parallel lines that are perpendicular to a
third line.

Answers

Answer: Pretty sure it would look like this

Step-by-step explanation:

Write an expression for “Triple the sum of 33 and b”. *

Answers

Answer:

99+3b

Step-by-step explanation:

The original equation would be 3(33+b), but simplifying it would get 99+3b.

Can someone help me with this?

Answers

Answer:

a) 5.2m   b) 23.6m

Step-by-step explanation:

a) tan 33° = x/8

=> x = tan 33 × 8

=> x ≈ 5.2 m

b) tan 25° = 11/x

=> x = 11/tan 25°

=> 23.6 m

1,345,456,234,234,345,234,-1234,567,890=? My subsititue is being mean so we can not use calculatars and I do not like to cheat anyway but in this case (yes)

Answers

Answer:

1,345,456,232,999, 777,344

Step-by-step explanation:

1,345,456,23   4,   2   3    4,   3    4     5,   2    3      4,

                        -1    2   3     4,    5   6     7,   8    9     0        

1,345,456,23    2,  9   9     9,    7     7    7,   3   4     4      

So we write the ones under the ones, tens under the tens  starting from the right hand side.

The first numbers can be easily subtracted as 4 is greater than zero. Then comes 3 which is less than 9 so we borrow 1 digit from the left to right to make it 13 and subtract 9 from it and get a 4. Then we are left with 1 as we have already borrowed 1 digit. As 1 is less than 8 we again borrow 1 digit from the left to make it 11 and subtract 8 and get 3. So the next number is 4 as we have already borrowed 1 and it is less than 7 . Again we will borrow 1 digit from the left to make it 14 and subtract 7 to get a 7.

So the process continues until we get the answer.

9 - 3/5 as a improper fraction

Answers

Answer:

42/5

Step-by-step explanation:

Answer: heres the right aswer 48/5.

This becomes the numerator of the improper fraction; the denominator of the new fraction is the same as the original denominator. For example, we can convert 9 3/5 into a mixed number: 9×5 = 45, and 45 + 3 = 48. Thus, 9 3/5 = 48/5.

Rewrite the expression in the form a^n (a^2/3)^-1

Answers

Answer:

a(2+3) i thinkk :((

Step-by-step explanation:

if my class starts at 11:45 am and ends at 1:15 pm but I leave early at 12:30 pm how much time have I spent in class?

Answers

Answer:

45 minutes

Step-by-step explanation:

you can disregard the 1:15 pm time

Answer:

45 minutes.

Step-by-step explanation:

You can ignore the 1:15 pm, as it's not relevant to the question of how much time you have spent in class.

11:45am to 12:30pm

Adding 15 minutes turns 11:45 am to 12:00 pm

Add another 30 minutes, it becomes 12:30 pm.

Calculate the sum of the minutes:

15+30 = 45 minutes.

Are the triangles shown below similar to one another?

Answers

Answer:

yes

Step-by-step explanation:

...............................

HELP ASAP PLEASE its due today !!

Answers

Answer:

it is 3 in

Step-by-step explanation:

because 11 times 3 is 33 time 3 is 99

The answer would be 3

someone please helppp

Answers

Answer:

7

Step-by-step explanation:

We know that alternate angles ( Z angles) are equal

So, the angle that is adjacent to (13x + 2) = (12x+3)

First, calculate the measure of the angle adjacent to (13x+2)

We know that the angles on a straight line add up to 180 degrees.

Therefore, the angle adjacent to (13x+2) = 180-(13x+2)

Simplify this to: 178-13x

So, now we have an equation

178 - 13x = 12x + 3

Rearrange to find the value of x

25x = 175

x = 7

Hope this helps.

1.2675 * 10^37 =
help pls its like 3am and for some reason my brain doesn't work :)

Answers

Answer:

the answer of the given equation is 1.2675E+37

Step-by-step explanation:

The computation is shown below:

Given that

= 1.2675 × 10^37

The above equation we need to solve

So,

= 1.2675 × 1E+37

= 1.2675E+37

So the answer after solving the equation is  1.2675E+37

The same would be considered and relevant

Hence, the answer of the given equation is 1.2675E+37

Need help with this math problem.

Answers

I forget all my vocabulary so hopefully someone else can correct me if the words I use aren't correct. But the following is definitely a function. "Although two x values correspond to a singular y value, the function passes a vertical line test. Meaning that it is ok to have values of x that equal the same y values, however two values of y assigned to the same x value would make the function undefined."

Hope this helps! The only vocabulary in this that you would really need is "corresponding," and (if you learned about it, you may not have yet) "vertical line test"

Can you guys help me........plz

Answers

Answer:

1

Step-by-step explanation:

Because of probability

The answer is 1. I hope this helps!!!!!

i need more help pls and thx to who ever help

Answers

The difference is that one is bigger than the other one, and that the bigger box suface are is 180 and the other one is 22.5

Mark me BRAINLIST

A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax?

Answers

Answer:

$160.14

Step-by-step explanation:

15% of 174.45 = 26.16

174.45 - 26.16 = 148.28

8% of 148.28 = 11.86

148.28 + 11.86 = 160.14

I know the answer already but can someone explain it please
2187= 3^x
Answer is x=7

Answers

Answer:

3^x = 2187 is equivalent to log 3 (2187) = x.  (the three is the small number that goes lower next to the g). Then, use a calculator to do log(2187) / log(3)

Step-by-step explanation:

Plz need help it’s due today

Answers

A-no
B-yes
C-yes
D- yes

help BRAINLES tysmm

Answers

Answer:

64 units^2

Step-by-step explanation:

A = 1/2*b*h

A = 1/2 * 16 * 8

A = 64

Answer:

64 units

Step-by-step explanation:

If f(x)=x2, which equation represents function g?

A. g(x)=1/3f(x)
B. g(x)=3f(x)
C. g(x)=f(1/3x)
D. g(x)=f(3x)

Answers

I think it’s a because look at your graph if you look closely you can see that the red line is a v and u calculate your dots

help?!
???????????LK

Answers

Answer:

Equation: 65+1.50m=78.50

Solution to the equation= 9 minutes

Step-by-step explanation:

The parents have to give 65 dollars for their children to be under care till 6 o'clock. AFter 6 o'clock, they had to pay 1.50 dollars for one minute. This parent gives a total of 78.50 dollar for that day. So, the equation is :

65+1.50m=78.50

(btw, m stands for minutes)

So to solve the equation:

1.50m=13.50

m= 9

An 18-foot ladder is leaning against the side of a building such that its base makes an angle of 65º with the ground. How far from the side of the building, b, should the base of the ladder be placed? Round to the nearest tenth of a foot.

Answers

Hello!

This problem is about relating trigonometric values to an unknown side.

We are given an angle side, and we can determine that another angle made would be a 90 degree angle.

Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.

[tex]65+90+x+180[/tex]

[tex]x=180-90-65[/tex]

[tex]x=25[/tex]

After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.

[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]

[tex]b=16sin(25)[/tex]

Make sure to be in degrees when putting this in a calculator.

[tex]b=6.8[/tex]

Hope this helps!

Put the following in order from least to greatest. -34.5,-34.75,-34 1/4,-34

Answers

Answer:

A.) -34, -34 1/4, -34.5, -34.75

Step-by-step explanation:

No need to have -34 TWICE on a list from least to greatest or greatest to least. This is a typo for sure.

Choice c is the answer.

Jack needs 84 inches of rope to tie some packages and 4 feet of rope for
another project. Does Jack have enough rope? Explain.

Answers

Answer:

is 132 enough? We need more info.

Step-by-step explanation:

His projects would need 84+(12*4) inches of rope. This means he needs 132 inches of rope. Do you know how much rope he has?

Hope this helps?

Please answer and show work thank you:)

Answers

Answer:

Just use the first one and you divide.

Step-by-step explanation:

use the first one then divide!

A construction company spends w weeks extending an existing road. The existing road is 5 miles long. Each week the company completes 0.2 miles of the extension. Which equation models the total length (L) of the road?

A. L = 0.2w + 5
B. L = 0.2w - 5
C. w = 0.2L + 5
D. w = 0.2L - 5

Answers

Answer:

A. L=0.2w+5

Hope this helps!!! :)

The answer would be A

pls help with this immediately!!!! i’ll be giving brainiest to those who provide the correct answer. if u leave a link, have fun getting reported.

Answers

Answer:

I belive it is Parellelogram

parallelogram and quadrilateral

Group like terms.. I was confused and need help asap!

Answers

I think what you have to do is group the numbers such as x^2 and -3x^2 and let’s just say since you have 5x^2y thrown in there it wouldn’t be a like term with x^2 and -3x^2 I’m sorry if this didn’t make sense I tried

A rectangle has a width of (4g) and a length of (28 - 3). The perimeter of the rectangle is 54 units. What is the
value of g?

Answers

Answer:

Step-by-step explanation:

sorry do not .know

To find the value of g, we need to use the formula for the perimeter of a rectangle, which is:

P = 2(l + w)

where P is the perimeter, l is the length, and w is the width.

We are given that the width is 4g and the length is 28 - 3 = 25, so we can substitute these values into the formula:

54 = 2(25 + 4g)

Next, we can simplify the equation by first distributing the 2:

54 = 50 + 8g

Then, we can isolate g on one side of the equation by subtracting 50 from both sides:

4 = 8g

Finally, we can solve for g by dividing both sides by 8:

g = 4/8

Simplifying this expression gives us:

g = 1/2

Therefore, the value of g is 1/2.

Hope this helps <3

Please give me Brainliest :)

Other Questions
Which statement in the excerpt supports the idea that the author is building a slippery slope argument?adapted from Away with Standardized Testing!Standardized testing is a billion dollar industry. The companies that create these tests charge school districts and institutions millions of dollars to create and administer them. Let us not even forget the millions of dollars they make selling study guide materials for college entrance exams. Some school districts provide waivers so that students do not have to pay to take these exams. However, some students do not have that luxury and must pay for every attempt at the test until they get a desirable score. Districts are refunded when errors on these tests are discovered or when systems crash. Each year, school district funds are being reduced by states. Surely money poured into testing can be used to support other needs, such as higher teacher salaries, better school lunches, more classroom libraries, and infrastructure repairs.Sure, supporters of this dream-killing, money-sucking machine believe that standardized tests push educators to cover more content and skills and that stricter, more-aligned standardized tests ensure that students are college ready. But do these supporters stop to think about the emotional impact of standardized testing on student engagement and motivation? When students perform poorly test after test after test, not being able to gain acceptance into a college of their dreams or graduate from high school or rank highly, they are more inclined to consider dropping out of school and not pursuing college, and are more likely to tragically suffer from low self-esteem. PLEASE HELP ME 20 POINTS FIR THE CORRECT ANSWER PLEASE HELP ANSERW! WILL NAME BRANLIEST 20 POINTSSSSSSSSSSSSS!!!Lee y escoge la opcin con la palabra o palabras correctas para completar la frase. Read and choose option with the correct word or words for the blank.En ________ puedes caminar al lado del mar e ir de pesca y a veces hay montaas rusas. (1 point) ael ro bel malecn cel monumento del camping Can any one please help Which of these statements is true of plant cells?O They are prokaryotic.O They have no cell membranes.They can make their own nutrients.O They work independently of one another. what are the advantages and disadvantages of using informers Which statement best completes the diagram? Culture of Oceania. Many people are descendants of European colonists. Christianity is the most widely practiced religion.A. English is a major languageB. Musical styles are mostly EuropeanC. Dance is for bidden and a religious lawD. Most of the population lives in Micronesia How is school? Are you ok? Insects often get stuck in the sap of ancient trees. The sap along with the insect inside harden forming a fossil. What kind of fossil is this?CastCrystallizationMoldTrace In most states, economic policy is partly established byThis includes setting upexplain how money is spent. One source of revenue iswhich are collected from property, income, andother sources. Fees fromcan also be an important source of revenue. Which of these number sentences is NOT true?A. 4,000,000 millimeters =4 kilometersB. 300 millimeters >3 centimeters C. 5 meters > 5,000 millimeters D. 2,000 meters < 20 kilometers WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER NO LINKS OR SPAM THEY WILL BE REPORTEDThe leaders of the group identified in question #2 aligned themselves with the: how many phonemes are in the word "shelf" In a plant that has red flowers red flower color R is completely dominant to white flower color r if the plant is heterozygous for flower color which alleles will be carried by the gametes it produces which change, if any, is needed to the underlined text central park 843-acrea. central park, 843-acreb. central park: 843-acrec. central park; 843-acred. no change How many atoms of gallium are there in a sample of gallium that has a mass of 1.34g? What rumor was not true about edgar allan poe? What early advanced society in SoutheastAsia was located in what is now Cambodia POST-lab Question:What would be the effect on the butterfly population if the coloration in the environment suddenly changed? (Example: greenbutterflies are living on a green plant that suddenly turns brown and loses all its leaves). can you help me please