what is the solution to the equation below round your answer to two decimal places 7^x=77

A. x = 1.04
B. x = 2.40
C. x = 0.45
D. x = 2.23

Answers

Answer 1

The value of [tex]7^x = 77[/tex] is C. x = 0.45 obtained by taking log of vase 7 on both sides.

What is a logarithm?

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. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, an expression [tex]7^x = 77[/tex].

Now, [tex]log_77^x = log_7(77)[/tex].

We have taken log of base 7 on both sides to cancel out log base 7 of 7 to get x explicitly.

[tex]x = log_777[/tex].

x = 0.4479 Or x = 0.45.

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Related Questions

Pls help I’ll brainlest
Do question 10

Show your work

Answers

Answer:

Step-by-step explanation:

285 - 60= 225

225/45= 5

5 weekdays

Which is correct a or b

Answers

Answer:

B is correct hope this helps

Amy is building a cardboard box in the shape of a triangular prism. The dimensions of the box are shown in the diagram. 2 cm 1.5 cm What is the total surface area of ​​this box in square centimeters? 33 cm? 37.5 cm2 A B31.5 cm2 D 7.5 cm? Please help

Answers

Answer:

37.5

Step-by-step explanation:

you have to multiply all the dimensions

Answer:

TSA=Ph+2B

(2+1.5+2.5)5+2(1/2*1.5*2)

6(5)+2(1.5)

30+3

33

Step-by-step explanation:

True or False?
change in y
change in z
is used to find the constant of proportionality.
O False
O True

Answers

Answer:

False

Step-by-step explanation:

your welcome.

Answer:

false

Step-by-step explanation:

help me,,.,,.,.,,,,,..,,,,..

Answers

Answer:

90

Step-by-step explanation:

that's a right angle

If 5 people are going to share 9 pizzas how much pizza would each person get

Answers

Answer: 14

Step-by-step explanation:

5x9/8

Answer: Each person would get [tex]1 \frac{4}{5}[/tex] pizzas.

Step-by-step explanation:

9 pizzas divided by 5 people would be:

9 ÷ 5 = 9/5

9/5 = 1 4/5

Therefore, each person would get get [tex]1 \frac{4}{5}[/tex] pizzas.

Need help plz and thank u

Answers

30 students is the answer :)
30 students................

Write a function called Radians_To_Degrees which will convert an angle from Radians to Degrees. In your Lesson 06 script: a. convert 1.62 radians to degrees b. Convert pi/9 radians to degrees

Answers

Answer:

a) 92.9 degrees

b) 20 degrees

Step-by-step explanation:

Using the conversion factor;

180 degrees = pi radians

For 1.62 radians;

1.62 radians = x

pi radians = 180 degrees

Divide both expressions;

1.62/pi = x/180

pi * x = 1.62 * 180

pi * x = 291.6

x = 291.6/pi

x = 291.6/3.14

x = 92.9 degrees

Hence 1.62 radians is equivalent to 92.9 degrees

b) Recall that

pi radians = 180 degrees

pi/9 rad = y

Cross multiply

y * pi = 180pi/9

y = 180/9

y = 20 degrees

Hence pi/9 radians is equivalent to 20 degrees

What is the length of leg s of the triangle below?

Answers

Answer:

the answer is F.8

Step-by-step explanation:

3 over 2 +2over3 what does it equal

Answers

uhhsjdjja. 2 1/6 ??

Answer:

13/6 Which you can divide and get a decimal instead (Decimal: 2.166667)

Step-by-step explanation:

Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =

Answers

Answer: lesser x = 1/5 greater x = 4

Step-by-step explanation:

Plzz help me I am timed plzz!

Answers

It’s b)2. Because if you simplify you divide by 3 ( because 6 is divisible by 3) and get 2/1 so your answer is 2

Answer:

B) 2

Step-by-step explanation:

6/3 = 2

3/3 = 1

6÷3 = 2

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Solve for x

Please help me

Answers

9514 1404 393

Answer:

  x = 8.2

Step-by-step explanation:

As indicated on the supplied diagram, the measure of arc GH is ...

  GH = 360° -83° -115° = 162°

The inscribed angle at F is half this measure, so we have ...

  (10x -1)° = 162°/2

  10x = 82 . . . . . . . . add 1 and simplify

  x = 8.2 . . . . . . . . . divide by 10

6. Missing data, nonrandom samples, and outlying observations True or False: If the data for an observation on either the dependent variable or one of the independent variables are missing at random, then the size of the random sample available from the population must be reduced, which reduces the estimator's precision and introduces a bias.

Answers

Answer:

False

Step-by-step explanation:

The answer to this question is false because the missing observation does not introduce bias to the estimator. But missing observations reduces the size of the sample that is available from the given population. Therefore reducing the precision of the estimators.

In conclusion, no bias is introduced because of missing observations so the answer is false.

please help me solve
please help asap​

Answers

volume=length x width x height
(7)(12)(5)=420 cm

Answer:

420 cm3

Step-by-step explanation:

Volume of a rectangular prism is length * width * height

Here that's:

7 * 12 * 5 = 420

Calculate the area of the figure in square centimeters.

Answers

Answer:

20.283

Step-by-step explanation:

1) the formula of the required Area is:

A=A₁+A₂, where A₁ - area of semicircle, A₂ - area of rectangular;

2) the radius of the semicircle is: r=(7-2-1)/2=2 cm, then the area A₁:

A₁=0.5*π*r²=2π≈6.283 (cm²);

3) A₂=7*2=14 (cm²);

4) finally, A=A₁+A₂=6.283+14=20.283 (cm²)

2/5 of a number equals 36

Answers

Answer:

let no be x

2/5 of x=36

x=36×5/2

x=18×5=90

required no is 90

MULTIPLY



Answer






Answer










Answer









Answer










Answer​

Answers

Answer: i cant see all of them

Step-by-step explanation:

What is the measure of

Answers

Answer:

B

Step-by-step explanation:

180°= straight line

180°-42°=138

A local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers on Wednesday. There were 60 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?

Answers

Answer:

225 hamburgers

Step-by-step explanation:

system of equations:

h + c = 390

c = h-60

use Substitution:

h + h - 60 = 390

2h - 60 = 390

2h = 450

h = 225

Bailey wanted a new pair of shoes. She put the $142 cost on her
credit card. Because Bailey has been irresponsible with her credit,
the credit card company charges her 22% annual interest. Figure
Bailey's balance after 180 days, assuming she made no payments.

Answers

Answer:

Bailey's balance after 180 days is $ 157.39.

Step-by-step explanation:

Since Bailey wanted a new pair of shoes, and she put the $ 142 cost on her credit card, but because Bailey has been irresponsible with her credit, the credit card company charges her 22% annual interest, for figure Bailey's balance after 180 days, assuming she made no payments, the following calculation must be made:

365 = 100

180 = X

180 x 100/365 = X

18,000 / 365 = X

49.31 = X

22 x 0.4931 = 10.84

142 x 1.1084 = X

157.39 = X

Thus, Bailey's balance after 180 days is $ 157.39.

Sabric and Jessica disagree over an inequality statement. Sabric claims that –3.613 > –3.63. Jessica claims that –3.613 < –3.63. Which statement about each student’s claim is true?

Answers

Answer:

Sabric i guess

Step-by-step explanation:

because -3.613 is greater than -3.63

Answer:

D is the correct answer

Step-by-step explanation:

Sabric is correct because  –3.613 lies to the right of –3.63 on a number line.

The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.751.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answers

Answer:

Step-by-step explanation:

Answer:

5.573.75

Step-by-step explanation:

because math

The difference between twice a number and 16 is 30. Which math statement is an equation that represents this relationship?

A) 30 – 16 = x
B) x – 16 = 30
C) 2x + 16 = 30
D) 2x – 16 = 30
E) 2x + 30 = 16

Answers

Answer:

D

Step-by-step explanation:

Answer:

D is the correct answer :)

Step-by-step explanation:

Hi,

Twice a number is 2x (x because we don't know what that number is) The word "difference" suggests we're subtracting. So, 2x - 16 = 30 is correct.

Have a great rest of your day :)

80 POINTS PLEASE HELP!!!
Consider functions f and g.
f(x) = log(x - 1)
g(x) = 1/3x^2 - 4


Which statement is true about the solutions of the equation f(x) = g(x)?

Answers

Answer:[tex]g (f (x)) = 3^{2} + 24[/tex]

Step-by-step explanation:

The true about the solutions of the equation f(x) = g(x) is

The solution of the graph where the graph of function intersect at

x = 1 and x = 3.642.

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have function,

f(x) = log(x - 1)

g(x) = 1/3x² - 4

As, f(x) = g(x)

log (x-1) = 1/3 x² - 4

Now, putting x= 1, x= 3.642, x= 4.464, x= 4 , x= 0.422 into the formula for the observation.

So, the solution of the graph where the graph of function intersect at

x = 1 and x = 3.642

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Solve for k. K(K + 8) = 0 Write your answers as integers or as proper or improper fractions in simplest form. k = 1 or k = submit​

Answers

Answer:

k= -8

Step-by-step explanation:

Please help answer this

Answers

It would be 0.1... as far as I think

round to the nearest 10th​

Answers

230 to the nearest 10 240

Last 3 questions thank you so much

Answers

Answer:

Step-by-step explanation:

1)  

we are given ∠17  and the Adj = 200 meters they want to know the Opp

so use  TOA

Tan(17) = Opp / 200

200*Tan(17) = Opp

61.146 = Opp

the mast stands 61.1 meters tall   ( rounded to nearest 10th )

2)

now we know the opp = 40 meters and the angle is 35° and Adj = x

Use TOA again, but w/ the different knowns

Tan(35) = 40 / Adj

Adj = 40 / Tan(35)

57.1259 = Adj

so the boat is 57.1 meters from the cliff  ( rounded to nearest 10th)

3)

we are given two triangles now and are told to find the difference between them to find the distance between the buoys

Opp = 70

∠A = 60

∠B = 40

we want to find the Adj for each so use TOA

for A , then

Tan(60)= 70/a

a = 70 / Tan(60)

a = 40.4145

for B, then

Tan(40) = 70 /b

b = 70 / Tan(40)

b = 83.4227

so subtract  a  from b

83.4227 - 40.4145 = 43.008

so from buoy A to buoy B is 43.0 meters ( rounded to nearest 10th )

:)

Please help if you can

Answers

Answer:

quadrant three I think.

Answer:

quadrant IV

Step-by-step explanation:

(x,y) the x line has positive numbers while the y has negative numbers

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