Given log3 4 = 1.262 and log3 7 = 1.771, what is the value of log3 (7/16)?

Given Log3 4 = 1.262 And Log3 7 = 1.771, What Is The Value Of Log3 (7/16)?

Answers

Answer 1

Answer:

[tex]log_3(\frac{7}{16}) =-0.753[/tex]

Step-by-step explanation:

Use the laws of log()

[tex]log_x(\frac{a}{b}) =log_x(a)-log_x(b)[/tex]

[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(16)[/tex]

[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(4^2)[/tex]  you can move exponent outside of log()

[tex]log_3(\frac{7}{16}) =log_3(7)-2log_3(4)[/tex]  

[tex]log_3(\frac{7}{16}) =(1.771)-2(1.262)[/tex]

[tex]log_3(\frac{7}{16}) =-0.753[/tex]

Answer 2

The required value of log₃ (7/16) is 0.753 which is determined by properties of logarithms.

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

The functions of logarithmic are given in the question

log₃ 4 = 1.262 and log₃ 7 = 1.771

We have to determine the value of log₃ (7/16)

⇒ log₃ (7/16) = log₃ 7 - log₃ 16

⇒ log₃ (7/16) = log₃ 7 - log₃ 4²

Using property of logarithm logₐ(xⁿ) = n logₐx.

⇒ log₃ (7/16) = log₃ 7 - 2 log₃ 4

Substitute the values of log₃ 4 = 1.262 and log₃ 7 = 1.771 in the above equation,

⇒ log₃ (7/16) = 1.771 - 2(1.262)

⇒ log₃ (7/16) = 1.771 - 2.524

⇒ log₃ (7/16) = 0.753

Therefore, the required value of log₃ (7/16) is 0.753.

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Related Questions

The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.

Answers

Answer:

The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18

Step-by-step explanation:

We are given

Average of 3 quiz grades = 17

Grade of quiz 1 = 14

Grade of quiz 2 = 19

We need to find Grade of quiz 3

The formula used will be: [tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}[/tex]

Using formula and finding the grade of quiz 3

[tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}\\17=\frac{14+19+Grade \ of \ Quiz \ 3}{3} \\17*3=14+19+Grade \ of \ Quiz \ 3\\51=33+Grade \ of \ Quiz \ 3\\Grade \ of \ Quiz \ 3=51-33\\Grade \ of \ Quiz \ 3=18[/tex]

So, The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18

1) (-8,-8), (8,4)
Find the slope of the line through each pair of points

Answers

2 duhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer: 3/4

Step-by-step explanation:

The link between the bases on a basketball field is 93 a scale drawing shows the distance between the Bases as 1 1/2 to 1 inch on the drawing equals how many feet

Answers

Answer:

Distance on drawing is 11.7 feet.

Step-by-step explanation:

A scale is a factor that can be used to either increase or decrease the size of an object.

Scale = [tex]\frac{distance on drawing}{original distance}[/tex]

Given that:

scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches

So,

[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]

distance on drawing = [tex]\frac{3*93}{2}[/tex]

                               = [tex]\frac{279}{2}[/tex]

                               = 139.5

distance on drawing = 139.5 inches

Since 12 inches = 1 foot, then;

Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]

                                              = 11.625 feet

Distance on drawing is 11.7 feet.

Use the inverse variation equation to fill in the table.

Answers

Answer: a= 0.1 b=20.775 c=0.02

Step-by-step explanation:

just got it right on edg

4. What is the slope of a line that is parallel to the line described by 3x + 2y = 8?
a.
m = 3
b.
m= 3/2
c.
m= -3/2
d.
m= 2

Answers

The answer is :

B. M=3/2

If a turkey weighs 16 pounds, how many calories does it have? (remember there are
170 calories in 4 ounces of turkey)

Answers

The answer is 680 calories

In December of 2003, the average price for a gallon of regular gas in the United States was $1.50.

b. Is the relationship between number of gallons and cost proportional? Explain. ​

Answers

Answer:

yes

Step-by-step explanation:

because the cost stays the same and you would multiply blank gallons of gas by 1.50 every time so it is proportional. For example: it would be $1.50 to 1 gallon, $3 to 2 gallons, $4.50 to 3 gallons and would keep going like that, adding the same amount every time

Gabriel cycles 1,200 meters in 6 minutes. What is his speed?

Answers

Well divide the numbers to find the unit rate so it’s 200 meters in a minute I think

between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year

Answers

Answer: Approximately 4.333 cubic miles

Explanation:

2008 - 2002 = 6 years have passed

In that time frame, we lost 26 cubic miles of ground water.

This means we lost about 26/6 = 4.333 cubic miles of ground water per year.

.A carpenter bought some wood for #900. He used the wood to make a shelf which he sold for #3000. What percentage profit was this?. Single choice.



42.86%

233.33%

2100%

900%


Answers

Answer:

233.33%

Step-by-step explanation:

His profit is 233.33%.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, given that,

A carpenter bought some wood for #900.

He used the wood to make a shelf which he sold for #3000

Profit= #(3000-900)

        =#2100

So, percentage of profit = 233.33%

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Jan's flower garden has only daffodils and tulips
in it. There are 15 dallodils and 12 tulips. What
is the ratio of the number of tulins to the total
number of flowers in Jan's garden?

Answers

12/27 tulips to total flowers

set of integers between -4 and 4​

Answers

Answer:

-3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

the answer is as follows:
-3,-2,-1,0,1,2,3,4

put x^2+15x+56 and make it into a word problem!​

Answers

Kevin throws a ball from a point that is 56 ft above the ground. The height of the ball from the ground after “x” seconds is defined by the function h(x)= 40x + x^2

What is the solution of |x − 1| + 2 = 4? Enter your answers from least to greatest in the boxes

Answers

Answer:

down

Step-by-step explanation:

are there options

Camila started reading a 500 page book. She read of the book in hour. What is the maximum number of pages can she read in hour if she reads at the same rate?
A.
10 pages
B.
15 pages
C.
40 pages
D.
20 pages

Answers

Answer:

Need more information

Step-by-step explanation:

I need to know what percentage/fraction of the book she read in 1 hour or any other information about the rate she is reading

PLease help me find the unit rate for $140 for 18 ft

Answers

Answer:

Step-by-step explanation:

So,

$140 Dollars per 18 feet

Divide by 18 on both sides

140/18=18/18

140/18 is equal to 7 and 2/9

The answer is 7.77777778

the ratio of the measures of the angles of a triangle is 1:2:3 find the measure of each angle​

Answers

Answer: 30, 60, 90

Step-by-step explanation: 30 * (1:2:3)

30+60+90 =180

Sum of all angles of a triangle is 180

Which of the following lists is in order from least to greatest?
V5.4,32,-2.
-2, 5, 4, 32
-2, 4, 3², 5
2, 32, 4, 5

Answers

Answer:

second one

Step-by-step explanation:

PLEASE HELP ME!!
BEST ANSWER GETS BRAINLIEST

Which of the following could represent a diver’s position in relation to the surface of the water after diving into a pool? Select all that apply.
3 meters
-2 meters
-3.1 meters
1 and StartFraction 7 over 8 EndFractionmeters
Negative 2 and one-halfmeters

Answers

Answer:

-2, -3.1, -2.5

Step-by-step explanation:

Since the diver dived into the pool, they are below the surface (assuming it is an inground pool). So the correct answers will be the negative answers.

The numbers to represents a diver’s position in relation to the surface of the water after diving into a pool is;

-2 meter

-3.1 meter

Negative 2 and one-half meters

Given that;

A diver’s position is in the surface of the water diving into a pool.

We have to find number to represents a diver’s position in relation to the surface of the water after diving into a pool.

What is Negative number?

A number less than zero is called the negative number.

A diver’s position is in the surface of the water diving into a pool.

Since, Diving into a pool is represents negative number.

Hence, The number to represents a diver's position is in negative sign.

So, The numbers are;

⇒ -2 meter

⇒ -3.1 meter

⇒ Negative 2 and one-half meters.

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A snack bar at an outdoor fair is open from 10 A.M. To​ 5:30 P.M. And has 468 bottles of water for sale. Sales average 1.3 bottles of water per minute.

Answers

Answer:

the question is incomplete, so I looked for similar ones

the number of bottles of water remaining as a function of time:

f(x) = -78x + 468

1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour

x = number of hours

the slope is -78

the y intercept is 468

domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)

range = 0 ≤ y ≤ 468 bottles

the snack will run out of bottles of water by 4 PM

78x = 468

x = 468 / 78 = 6 hours

if the snack wants to have enough bottles of water to serve all its customers, it will need:

78 x 7.5 hours = 585 bottles of water

The temperature in Anchorage, Alaska was -3°C in the afternoon. After the sun went down, the temperature dropped 6 degrees. Write an equation to represent the situation. What was the temperature after the sun went down? ( 3 points )

Answers

Answer:

-9

Step-by-step explanation:

-3 - 6

-3 + -6

-9

hope this helps!

0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?

Answers

Complete question :

The two largest lizards in the United States are the Gila monster and the Chuckuwalla. The average Gila monster is 0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?

Answer:

1.54 times

Step-by-step explanation:

Given that:

Average length of Gila monster = 0.608 meter

Average length of chuckwalla = 0.395 meter

Number of times the Gila monster is than the Chuckuwalla :

Average Length of Gila monster / average Length of chuckwalla

= 0.608 meter / 0.395 meter

= 1.5392405 times

= 1.54 times

solve of system of equation.
9x + 2y = -38
9x+10y=26.

Answers

Answer:

(-6 , 8 )

Hope this helps!


[tex] {x}^{ 2} + 4x - 21[/tex]
I'm trying to solve for x but I dont understand and need help ​

Answers

x= 3, -7 ( happy thanksgiving lovely! )

If 3x - 6 = 21, what is the value of x - 2 ?

Answers

3x-6=21
Or,3x=27
Or,x=27/3
Or,x=9
So,Now,
X-2=9-2
=7
Hope it helps

The value  of x - 2 in the equation 3x - 6 = 21 is 7.

What is an equation ?

An equation is comparing two equal quantities in different form.Equations can be of many types like algebraic equation, logarithmic equation,trigonometric equations, exponential equations.We can also graph this equations in 2 dimensional and 3 dimensional plane.

According to the question given an equation 3x - 6 = 21 first we have to solve for x or find the value of x.

∴ 3x - 6 = 21.

3x = 21 + 6.

3x = 27.

x = 27/3.

x = 9.

So, the value of (x-2) will be (9-2) = 7.

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is 2.6666666667 a rational number

Answers

Answer:

No.

Step-by-step explanation:

I believe that the number above is irrational, because it repeats.

The person above you is wrong


The decimal is rational

In fact every repeating decimals are rational because you can turn them into fraction

Can you please mark brainleist

Which set is not closed under addition
A. Natural numbers
B. Even integers
C. Odd numbers
D. Whole numbers

Answers

I'm pretty sure it's C: Odd numbers

just need 5 and 6 done due in 20 minutes plz help​

Answers

Step-by-step explanation:

5. Let the equation of the line be y = mx + c

m = (6-15)/(2-(-1)) = -3

sub (2, 6) and m = -3:

6 = -3(2) + c

c = 12

Equation of the line: y = -3x + 12

6. Let the equation of the line be y = mx + c

y-intercept of 7 means c = 7

y = mx + 7

x-intercept: value of x when y = 0

therefore, sub (4, 0):

0 = m(4) + 7

m = -7/4

Equation of the line: y = -7/4x + 7

this is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic soon and will also be posting other topics' notes and some tips :)

Calculate the perimeter for the given figure.
8 ft
8.5 14
.ft
10 11
A. 16.5 feet
B. 25.5 feet
C: 26,5 feet
D. 26.5 feet

Answers

Answer:

the answer is C and D because perimeter is the sum of all sides of a figure

Sally and Joan were able to dust the house in 3 hours together. It takes Joan 10 hours to finish the same job alone. Without help, how long would it take Sally to finish the same job ?

Answers

Answer:

4.3 hours

Step-by-step explanation:

Let the number of hours Sally does a job = x

Let the number did hours Joan does a job be equal to y

Sally and Joan were able to dust the house in 3 hours together.

1/x + 1/y = 1/3

It takes Joan 10 hours to finish the same job alone.

Hence,

1/x + 1/10 = 1/3

1/x = 1/3 - 1/10

Least common dey = 30

1/x = 10 - 3/30

1/x = 7/30

Cross Multiply

x × 7 = 30

7x = 30

x = 30/7

x = 4.2857142857 hours

Approximately = 4.3 hours

Without help, it would take Sally 4.3 hours to finish the same job.

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