Using the logarithm, solve the following equation for x.
6400 = (8) (2^4x)

Answers

Answer 1

Answer:

x = 2.411

Step-by-step explanation:

6400 = (8) (2^(4x))

Divide both sides by 8 to get;

6400/8 = (2^(4x))

800 = (2^(4x))

Using logarithms, we can solve as;

Log 800 = 4xLog 2

4x = Log800/Log2

4x = 2.9031/0.3010

4x = 9.6449

x = 9.6449/4

x ≈ 2.411


Related Questions

Anyone able to help?

Answers

Answer:

What's the question ?

Step-by-step explanation:

I might know

Perform the induced operation
(-7x+1)+(- 2x2 + 7x + 8) =

Answers

Answer:

-2[tex]x^{2}[/tex] + 9

Step-by-step explanation:

   0[tex]x^{2}[/tex] + (-7x) + 1

+ -2[tex]x^{2}[/tex]  + 7x + 8

  -2[tex]x^{2}[/tex] + 0x + 9

or

-2[tex]x^{2}[/tex] + 9

 

guys help i dont know this Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.

Answers

Answer:

100 answer is correct

Step-by-step explanation:

2×10-3×-12+4×11

20+36+44

100 answer is correct

Step-by-step explanation:

2x-3y+4z

x=10

y=12

z=11

2(10)-3(-12)+4(11)

20+36+44

and the answer is 100

(made a lot of mistakes so edited answer!)

good day :)

What is the image point of (-7,1) after a translation left 4 units and down 5 units?

Answers

The final point should end up at (-11,-4)

Evaluate the expression when a =
and b = 6.
16a? – 4b =

Answers

Answer:

Step-by-step explanation:

16(1/4)^2 - 4(6)

16(1/16) - 24

1 - 24 = -23

What is the slope of the line that connects the two points (0,4) and (-2,0)

Answers

Answer:

The slope is 2

Step-by-step explanation:

The slope that connects the two points (0, 4) and (-2, 0) is 2.

Identify the variable in the algebraic expression.
5x + 13

Answers

Answer:

x

Step-by-step explanation:

The definition of a variable is an unknown quantity, usually represented by a letter.

The variable in the algebraic expression 5x + 13 will be 'x'.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

⇒ 5x + 13

Now,

Since, The algebraic expression is,

⇒ 5x + 13

Hence, The variable of the algebraic expression = x

Therefore, The variable in the algebraic expression 5x + 13 = x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Factor completely 4x^2 − 8x − 60.
A. (4x-20)(x+3)
B. 4(x-5)(x+3)
C. (4x-4)(x+15)
D. 4(x-1)(x+15)​

Answers

The answer is B, 4(x-5)(x+3)
The answer above is a correct answer

Which of the following fractions is the largest 2/3 1/2

Answers

Answer: 2/3

Step-by-step explanation:

2/3 = 4/61/2 = 3/64/6 is greater than 3/6

Please I really need help on this one

Answers

Answer:

hope this hlp u

Step-by-step explanation:

the last one shows the radius

Answer:

figure 4 shows the radius

what is the product of 4.35 and 0.95

Answers

The product is 4.1325

Question 9 of 10
Which of the following statements must be true about this diagram? Check
all that apply.

Answers

I need more to the Question

Answer:

Step-by-step explanation:

No problem available to see

THE RATIO OF ANTS TO ANTHILLS IS 10,000 TO 3. IF THERE ARE 9 ANTHILLS, HOW MANY ANTS ARE THERE?

Answers

Answer:900,000

Step-by-step explanation:

You buy cheese in 1 pound bags. The recipe for burritos requires 1.7 ounces of cheese per serving. How many servings can you make?

Answers

Since there’s 16 ounces in a pound, you should be able to make 9 servings

Need some help don’t understand it

Answers

Answer:

find the value

Step-by-step explanation:

duhhhhhhhhh

Answer:

Step-by-step explanation:

6x+8+4x+2=180

the sum of interior angles =180

10x+10=180

10x=180-10

10x=170

x=17

Need help asap please!!!

Answers

Answer:15

Step-by-step explanation: 7 and a half times 2 is 15

the answer to that question is 15.

If one line has a slope of -5/4 what would the slope of a line
parallel to that line?

Answers

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

Parallel lines always have equal slopes. Therefore any parallel line to a given line will share the same slope.

Answer:

-5/4

Step-by-step explanation:

Parallel lines have the same slope but a different y intercepts, because if you think about parellel lines, they'll never intersect-- if two lines have the same slope, that means they won't be able to intersect. However, if they have the same slope, they would be coinciding (the same). That's why the y intercepts are different.

Since the slope of the first line is -5/4, the slope for the line parallel to it would also be -5/4

hope this helps!

The rate of change describes how the total cost changes with respect to time. Use this table to find the rate of change.

Answers

Answer:

look below ⏬

Step-by-step explanation:

you can see there is a pattern

0.40

0.70

1.00

so you keep adding three (30)

1.30

1.60

1.90

And for 0

0.10

All in oder now

0- 0.10

10- 0.70

20- 1.00

30- 1.30

40- 1.60

50- 1.90

60- 2.20

My friend here justin his already taken and his craft at fort nite my guy ughhhh


Y is inversely proportional to x, when Y = 7, x = 4.
True or False: the constant of proportionality, k, is 20.

Answers

Answer:

The given statement  Y = 7, x = 4 is False.

Step-by-step explanation:

We are given:

Y is inversely proportional to x, when Y = 7, x = 4.

We need to tell if the statement is True or False: the constant of proportionality, k, is 20.

Y is inversely proportional to x

We can write it as: [tex]y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}[/tex]

Now, we need to check when Y=7, x = 4 is true or false

We are given k = 20

Now, I can find value of y, by putting values of k and x in the equation:

[tex]y=\frac{k}{x}\\y=\frac{20}{4}\\y=5[/tex]

When we put x = 4, and k =20, we get Y=5 and not Y=7

So, The given statement  Y = 7, x = 4 is False.

Suppose tortilla chips cost 34.5 cents per ounce . If a bag costs $4.51, how many ounces are in the bag of chips?

Answers

Answer:

13.16 oz

Step-by-step explanation:

Which of the following is true about a parallelogram?
The diagonals are equal.
All sides are congruent.
The diagonals bisect each other.
The diagonals are perpendicular.

Answers

Answer:

The diagonals bisect each other.

Step-by-step explanation:

Not all diagonals of a parallelogram are equal.

The only quadrilaterals with all four sides being congruent are rhombus and squares so parallelogram is wrong.

The diagonals of a parallelogram bisect each other.

The diagonals of a parallelogram are only perpendicular when it is a square.

Can someone pls solve this

Answers

Answer:

G=23/16

Step-by-step explanation:

23/16 or in decimal form 1.4375. Firyou’d add -5/4 to 3/16.

The product of a ration number and irrational number is ______ an irrational number

Answers

Answer

always

Step-by-step explanation:

60% of what number is 348?

Answers

Answer:

208

Step-by-step explanation:

this is what I did. 348×.6

60% of 580 is 348 is the answer you're looking for

If you divide .6 by 348 you get 580.

To check your answer, you can do .4 (40%) multiplied by 580 to get 232

232+348=250 which is 100%

thats the problem the words say. Write an expression in simplest form that represents the perimeter of the polygon​

Answers

Answer:

(29x + 9)

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Therefore, Perimeter of the given polygon = (9 + 12x + 2x + 2x + 12x + x)

                                                                       = (9 + 29x)

Expression (29x + 9) will represent the perimeter of the polygon.

QUESTIONS: Solve for X

please some help! don't just comment just to comment i really need help ​

Answers

by the Angle sum property of triangle,

55+75+(-6+7x) = 180

=> 130 +(-6+7x) = 180

=> (-6+7x) = 180-130

=> (-6+7x) = 50

=> 7x = 50+6

=> 7x = 56

=> x= 56/7

=> x = 8

If your net worth is 50,000 and you pay off your student loan from your savings account how will your net worth statement be affected?

Answers

You net worth will decrease because you’re paying a loan from the money that you have. While your net worth decreases your liabilities will decrease because you will no longer have a loan to pay for.



Pls answer ASAP I will give brainliest answer

Answers

Answer:

Volume of the prism =  280 ft^3

Step-by-step explanation:

Recall that the volume of a prism is given by the  following formula:

Volume = B * H

where B is the area of the base (in our case a right angle triangle), and H is the prism's height (in our case 16 ft)

Then we estimate the area of the triangle at the base as base* height/2 :

Area triangle = 5 * 7 / 2 = 35/2 ft^2

and multiply by the prism's height to get its volume:

Volume = 35/2 * 16 = 280 ft^3

Which of the following is equivalent to the phrase "the product of thirty and a number is six"?
n - 6 = 30
30 + n = 6
30n = 6
30 + n = 6

Answers

Answer:

"The product of thirty and a number is six".

30n=6

30n=6 is the right answer.

PLEASE HELP Which statement completes step 5 of the proof?


Step 1 segment KL is parallel to the y-axis, and segment JL is parallel to the x-axis.

Step 2 ΔJKL was rotated 90° clockwise to create ΔJ'KL'. Point K did not change position, so it remains point K. Therefore, ΔJKL ≅ ΔJ'KL'.

Step 3 segment K L prime is perpendicular to the y-axis, and segment J prime L prime is perpendicular to the x-axis.

Step 4 segment JK lies on line f and has a slope of 3.

Step 5 ?

Step 6 The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.

Answers

Answer:

Segment J’K lies on line g and has a slope of -1/3

Step-by-step explanation:

Im taking the test but I need step 4 but step 5 is filled in for me

Answer:

In case you get the same question

Step-by-step explanation:

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