Using the change-of-base formula, which of the following is equivalent to the
logarithmic expression below?
log, 18

Using The Change-of-base Formula, Which Of The Following Is Equivalent To Thelogarithmic Expression Below?log,

Answers

Answer 1

Given:

The logarithmic expression is:

[tex]\log_718[/tex]

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

[tex]\log_ba=\dfrac{\log_ca}{\log_cb}[/tex]

The given expression is:

[tex]\log_718[/tex]

Using the change-of-base formula, we get

[tex]\log_718=\dfrac{\log_c18}{\log_c7}[/tex]

Where, is a constant and c>0.

Let [tex]c=10[/tex], then

[tex]\log_718=\dfrac{\log_{10}18}{\log_{10}7}[/tex]

Therefore, the correct option is a.


Related Questions

please help i will give brainliest

Answers

Answer:

Part 1: 2.4 + x

Part 2: 4(2.4 + x) = 14.8

Step-by-step explanation:

2.4 + x is the total distance covered every day.

We know that after 4 days, Bijan has run 14.8 miles, so in total he has run 4(2.4 + x) miles, which is equal to 14.8.

Extra: Here's how to work out x!

4(2.4 + x) = 14.8

9.6 + 4x = 14.8

4x = 5.2

x = 1.3

Hope that helps!

Plz help ASAP plz I will mark brainlest

Answers

Answer:

(a) HI

(b) GJ

(c) KL

(d) 2 units

Step-by-step explanation:

For d, I divided 4 by 2 because a radius is half of the diameter

Answer:

Step-by-step explanation:

A diameter is IH. It passes through the center an touches the edge. A radius is GJ, because it starts at the center and touches the edge. A chord is KL, because it touches the circle at 2 points and doesn't pass through the center.The length of GJ is 2 units, because the diameter is 1/2 the length of the diameter.

Can someone explain this to me?


Evaluate the expression for t = –3.

–15 − 4t = (blank/answer)

Answers

= -15 - 4 × (-3)

= - 15 + 12

= -3

Which expression simplifies to 5v3?

Answers

Answer:

D.

Step-by-step explanation:

Answer:

D. V15

Step-by-step explanation:

How many solutions does x2 - 6x = -9 have?

Answers

Answer:

it has 1 solutions  and its x = 3

Step-by-step explanation:

Answer:

[tex]x=3[/tex], [tex]x=3[/tex]

Step-by-step explanation:

[tex]x^{2} -6x+9=0\\x^{2} -3x-3x+9=0\\x(x-3)-3(x-3)=0\\x-3=0 , x-3=0\\x=3,x=3[/tex]

Although we get the sdame answer twice we can also say that we get 2 answers.

Find the equation of a line that passes through the points (1,-5) and (3,-6).
Leave your answer in the form y=mx+c

Answers

y = mx + b
y = - 1/2x - 9/2

Tyjae and Jason were asked to find the volume of ball with a diameter of 6 inches. Look at their equations. Who is correct? What mistake did the other person make?

Answers

I believe it was mark who was wrong because the formula requires you to use the radius squared not the diameter squared

Select all ordered pairs that satisfy the function y= -1/2x + 4 a) (-1, 3&1/2) b) (1, 3&1/2) c) (2&1/2, 3) d) (2, 3)

Answers

Answer:

The correct options are:

Option b) (1, 3 + 1/2)

Option d) (2,3)

Step-by-step explanation:

Suppose that we have a function:

y = f(x)

A ordered pair (a, b) satisfies this function if:

b = f(a).

In this case, the function is:

y = -(1/2)*x + 4

Let's try with each one of the options:

a) (-1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*-1 + 4

3 + 1/2 = 1/2 + 4

3 + 1/2 = 4 + 1/2

This is false, then the point (-1, 3 + 1/2) does not satisfy the function.

b) (1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*1 + 4

3 + 1/2 = 4 - 1/2 = (3 + 1) - 1/2 = 3 + (1 - 1/2) = 3 + 1/2

3 + 1/2 = 3 + 1/2

This ordered pair satisfies the function.

c) (2&1/2, 3)

Replacing these values we get:

3 = (-1/2)*(2 + 1/2) + 4

3 = -(1/2)*2 - (1/2)*(1/2) + 4

3 = -1 - 1/4 + 4

3 = 3 - 1/4

This is false, then the point (2 + 1/2, 3) does not satisfy the function.

d) (2, 3)

Replacing these values in the function we get:

3 = -(1/2)*2 + 4

3 = - 1 + 4

3 = 3

This is true, then (2, 3) satisfies the function.

Im sorry but this due today

Answers

Answer:

I would say it 11a+5 I'm not sure tho

Summer Job!
Earn $150/week
Plus $2.75 per subscription sold
Let: T = Total weekly earnings
N = Number of subscriptions sold
Choose the equation that models weekly earnings for the summer job
advertisement.

Answers

T = 2.75N +150
So E is the correct answer

If the Corner Bakery packages the muffins in the boxes of a 100 how many boxes of a 100 could they make

Answers

Answer:

24 muffins

240 muffins

2 boxes

Step-by-step explanation:

here is the complete question

Amy is baking muffins. Each baking tray can hold 6 muffins.

a. If Amy bakes 4 trays of muffins, how many muffins will she have in all?

b. The corner bakery produced 10 times as many muffins as Amy baked. How many muffins did the bakery produce?

If the Corner Bakery packages the muffins in the boxes of a 100 how many boxes of a 100 could they make

Number of muffins Amy has = number of trays x capacity of each tray

6 x 4 = 24 muffins

b. Muffins the bakery produces = 10 x 24 = 240 muffins

c. Number of boxes = 240 / 100 = 2. 4

that is 2 boxes of 100

Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

180-45-45=2\/2 =answer

Answer:

the answer is 2 cm

I guess

An artist receives royalties for all digital downloads of his music. For the first 10,000 downloads, the artist receives $10,000. He receives $12,500 for the next 10,000 downloads, $15,000 for the next 10,000 downloads and so on. How much money will he receive if his music is downloaded 500,000 times?

Answers

Answer:

Step-by-step explanation:

This is a linear relationship. We know this because as the number of songs increases by 10,000 the amount of money increases $2500. We can use that relationship in a proportion, which is a method used to solve problems involving directly proportional numbers.

If we arrange our information such that the dollars earned are on the top of the fraction and the number of songs that need to be downloaded to earn that amount of money is on the bottom of the fraction, here is what we have:

[tex]\frac{2500}{10,000}[/tex]. This means that the artist receives $2500 for every 10,000 downloads. Keeping in that pattern, we can find out how much money he will earn when 500,000 downloads are completed, assuming that the amount he earns per 10,000 songs doesn't change.

[tex]\frac{2500}{10000}=\frac{x}{500000}[/tex] and cross multiply to get

10,000x = 1250000000 and divide to get

x = 125,000

That is the amount that he will earn from 500,000 downloads.

[tex]\frac{$}{#}[/tex]

find cot0 given cos0=2/7 and the terminal side is in quadrant IV

Answers

Answer:

0.2985

Step-by-step explanation:

find cot0 given cos0=2/7 and the terminal side is in quadrant IV

Given

cos theta  = 2/7

theta = arccos(2/7)

theta = 73.40 degrees

cot theta = cot73.40

cot73.40 = 1/tan73.40

cot73.40 = 1/3.35

cot73.40 = 0.2985

hence the required answer is 0.2985

What this I’m trying to figure it out ASAP plz help

Answers

Answer:

i hink c or a

Step-by-step explanation:

Properties  

A line segment is a connected, non-empty set.

If V is a topological vector space, then a closed line segment is a closed set in V. However, an open line segment is an...

More generally than above, the concept of a line segment can be defined in an ordered geometry.

A pair of line segments can be any one of the following: intersecting, parallel, skew, or none of...

Help pls?!!!! For brainlest and extra points

Answers

Answer:

12cm squared

Step-by-step explanation:

The area of a triangle is 1/2bh

A = 1/2 x 4 x 6

A = 4 x 3

A = 12 cm squared

Answer:

The answer is B: 12 cm^2.

Step-by-step explanation:

The formula for the area of a triangle is b * h / 2 (base times height divided by two).

6 * 4 = 24

24 / 2 = 12

And since we're looking for area, the answer would be squared, as all areas are.

The answer: 12 cm^2.

Brainliest would be really really greatly appreciated!!!!

PLS SOMEONE HELP ME FIND THE MISSING ANGLES

Answers

Answer:

X=50

Y=40

Step-by-step explanation:

A straight line has an angle of 180 of its both side. 130+x=180

X=50

Y+x+90=180

Y+140=180

Y=40

Answer:

x = 50 degree

y = 40 degree

What are the next 3 terms of this pattern? 1056, 1088, 1120..

Answers

Answer:

1,152, 1,184, 1,216

Step-by-step explanation:

First, subtract. 1,088 - 1,056 = 32

Then, add.

1120 + 32 = 1,152

1,152 + 32 = 1,184

1,184 + 32 = 1,216

Lastly, have a nice day!

Answer:

The next three terms are 1152, 1184, 1216.

Step-by-step explanation:

The pattern of this term equation is to add by 32.

1056+ 32 = 1088

1088 + 32= 1120

1120 + 32 = 1152

1152+ 32 = 1184

1184 + 32 = 1216

Could I receive Brainliest please?!

Create an equation that matches the following
transformations:
A horizontal shift left 8.
A vertical shift up 3.

Answers

Answer: there you go! I hope this helps!

Step-by-step explanation:

Who’s able to Answer?

Answers

Answer:

#3; Domain stays the same, but the range changes.

Step-by-step explanation:

All of the x values, stay the same, but because of the reflection the y-values change due to everything becoming greater than 2 rather than less than 2.

Answer:

C) The domain stays the same, but the range changes.

✿---✿--❀---❀---✿---✿

hope it helps...

have a great day!!

A right triangle RST is drawn. A square is drawn onto each side of the triangle. The area of the square A is 49 square meters and the area of the square B is 144 square meters. Determine the length, x, of the indicated side of the right triangle.

Answers

Answer:

144+49=

193. =

X =193

x. =+-13.89

A sector of a circle has a central angle measure of 300. The diameter of the circle is 26 centimeters What is the approximate area of the sector

Answers

(1/2(r^2)(degree)) / 180 = A
FORMULA


(1/2(26^2)(300)) / 180 = 563.333333

ANSWER 563pie

Cindy borrowed $950 to repair her car. She will pay the money back in 9 months at 9% simple interest. How much total money will Cindy repay?

Answers

Answer:

64.13

Step-by-step explanation:

7.13 would be the monthly interest, so mulitiplying that by 9 should give u a 64.13

Family vacationers were surveyed at a rest area in the Marion County Test Ares, 1-75

Southbound. The families were asked about what and how they primarily listen to music in

their family cars while on the road,

How many families listened to pop music on the radio?

Answers

Answer:

84

Step-by-step explanation:

From the table Given, the number of families who listen to pop music on radio could be obtained by taking n(pop n radio) ; that is the intersection of pop and radio on the table, this value is 84.

Therefore, the number of families who listen to pop music on radio is 84

Help please this iis due today

Answers

Answer:

B is the correct answer

since

a1/a2=b1/b2≠c1/c2

Answer:

Choice B is correct!

Explanation:

Irina is watching a 3 hour movie on TV. The shaded part of the fraction model below represents the part of each hour that the movie is playing, and the unshaded part represents the time spent on commercials.

Answers

Answer:

3 * 5/6 = 15/6 hours

Step-by-step explanation:

From the figure attached :

The bar is divided into 6 equal parts ; with 5 of the sections being shaded and 1 left unshaded

The shaded represent the actual playing time

Unshaded portion = time spent in commercials

Using the model, the actual playing time of the movie excluding commercials :

(Shaded portion / total portion) * movie length

5 / 6 * 3 = (5*3) / 6 = 15/6

please help me asap im so confused ​

Answers

Answer:

RPT = 208

Step-by-step explanation:

Arc ST = 97                            Given

Arc RP = 180 - 97                   Straight line

Arc RP = 83

Arc PT = 125                          Given

Arc RPT = 125 + 83               Add the two arcs together.

Arc RPT = 208

Awnser and show your work <3

Answers

Answer:

-14

Step-by-step explanation:

isolate x's on one side so subtract 8.5x and add 1 on both sides

[tex]-14 = 1x[/tex]

simplifies to

x = -14

Solve 1/2x times 1/4x-18=6.

Answers

Answer:

The answer is 48

Step-by-step explanation:

Have a nice day

If m∠4 = (5x+4)° and m∠6 = (7x-36)°, then x = ______.

Answers

Answer:

x=20

Step-by-step explanation:

x=20 i think that’s what it is
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