Evaluate the following expression. log4 256
A. 64
B. 16 C. 4 D. 8

Evaluate The Following Expression. Log4 256A. 64B. 16 C. 4 D. 8

Answers

Answer 1
The correct answer is c.4
Answer 2

The simplified value of the expression  [tex]log_4[/tex] 256 is 4.

Thus, option (C) is correct.

To evaluate the expression [tex]log_4[/tex] 256, determine the power to which 4 must be raised to obtain 256.

So, the equation can be set up

[tex]4^x[/tex] = 256.

Now, put the value of x one by one as

[tex]4^2 = 16[/tex]

[tex]4^3 = 64[/tex]

[tex]4^4 = 256[/tex]

Thus, when the number 4 raise to the power 4 it gives 256.

Thus, option (C) is correct.

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Related Questions

A watch I bought
for £1500
increases in value
by 9% a year for n
years.
Work out how
years it would take
to double my
money.

Answers

Answer:

About one year

Step-by-step explanation:

1500*0.9=1350

Write down the number eleven thousand,eleven hundred and eleven in figures

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Answer:

12,111

Step-by-step explanation:

PLEASE HELP! I WILL MARK AS BRAINLYEST

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6 is the answer I think

Pls help I’m in a call by myself with my math teacher

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i’m pretty sure it’s 70 m i think

plz answer this ones

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Answer:

44

Step-by-step explanation:

it's 44 because median is alwys in between and simply look at the scale

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Amanda used a standard deck of 52 cards and selected a card at random. She recorded the suit of
the card she picked,
and then replaced the card back into the deck. She compiled the results in the table below.

a) Based on her results, what is the experimental probability of selecting a heart?
b) Based on her results, what is the theoretical probability of selecting a heart?

Answers

Answer:

34%

Step-by-step explanation:

I meant be a couple PREcents OFF BUT IM SORRY THIS IS MY BEST ANSWR :( hope this helps tho :)

I need some help with this important question it's for a important grade pls someone really help me with this question.​

Answers

Answer:

45º

Step-by-step explanation:

A triangle always has 180º

C is a right angle which is 90º. Proof is because of the square.

So now we have 90º left and 2 angles left.

90 ÷ 2 = 45

So your answer is 45º

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Make sure to hit the THANKS button :D

  V

  V

Answer:

36

Step-by-step explanation:

17 is the hypotenuse.

For angle A, 10 is the opposite leg.

sin A = opp/hyp

sin x = 10/17

x = sin^-1 10/17

x = 36

use the distance formula to find the distance between the two points (-3, 3) and (2, 2) give the exact length (leave in radical form if it is not a perfect square). but please show your work so i can understand. its ok if u cant show ur work tho thank you!

Answers

Answer:

[tex]\sqrt{26}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (2, 2)

d = [tex]\sqrt{(2+3)^2+(2-3)^2}[/tex]

   = [tex]\sqrt{5^2+(-1)^2}[/tex]

   = [tex]\sqrt{25+1}[/tex]

    = [tex]\sqrt{26}[/tex]

need help solving to complete the square ​

Answers

Answer:

b=9 and b=-21

Step-by-step explanation:

first step: move 195 to the other side by adding to get:

b^2+12b=189

now to find the constant you take the b value which is 12 divide that by 2 and square it. then add the product to both sides. 12/2=6, 6^2=36

b^2+12b+36=189+36

next factor b^2+12b+36.

(b+6)^2=225

square root both sides to get:

b+6=15 and b+6=-15

solve by subracting 6 to both sides and you get the 2 final answers.

b=9 and b=-21

solve by square root 4x^2=64

Answers

X= 4, -4...................

Please help its due in a hour

Answers

The side lengths of a triangle are 5,8 and 12 is this a right triangle?
A. no, because 5 + 8 ≠ 12.
B. yes, because 5² + 8² = 12².
C. no, because 5²+ 8² ≠ 12².
D. yes, because 5² + 8² < 12²
Step-by-step explanation:
Pythagoras theorem states c^2=a^2 + b^2
5^2=25
8^2=64
25+64=89

Please help will giv brainlist

Answers

Answer:

abcdefg!!!

Step-by-step explanation:

Omari buys a computer for $1,083. She
makes a down payment of 20%. She pays
$144.40 per month to finish paying for
the computer. How many months will it
take Omari to finish paying?

Answers

Answer:

6 months.

Step-by-step explanation:

To find the answer, we first need to find out how much Omari paid for the down payment. To find this, you multiply 1083*0.20 and you get $216.60. So we subtract the down payment from the total leaving us with $866.40. Now to find out how many months it would take Omari to pay, we divide 866.40/144.40 since each month she pays $144.40 a month. Once you divide 866.40/144.40, you are left with an answer of 6 months.

Please Help!!! I'll give brainliest

Answers

Answer:

Step-by-step explanation

didnt regroup for one part

a. 17 + 4p
b. 18 + 3d + 3p
c. 18 + 4p
d. 17 + 3d + 3p

Answers

the answer is 17+4p . A

Answer:

c. 4p+18

Step-by-step explanation:

-7d + 2d + 3d + 2d = 0

6p-3p+p = 4p

7-11+14+8 = 18

4p+18

Can somebody help me with this. Will Mark brainliest.

Answers

Answer:

The answer is 36 I believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin(x) = 5.9/8.1

x = arcsin(5.9/8.1) ≅ 47°

Answer this please I’ll give brainlest if you answer it correctly!

Answers

Answer:

V≈75.4in³

Step-by-step explanation: This is what I got. I hope its right!

Answer:

Step-by-step explanation:

75.4

3+3 what is it i need help please

Answers

6 fooo take this down

answer please !!! taking an exam rn

Answers

Answer:

C

Step-by-step explanation:

re-write -3x−8y−4−87z in an expression using only addition.

Answers

Answer:

-3x + (-8y) + (-4) + (-87z)

Step-by-step explanation:

Need help!! don't know what I'm doing

Answers

Answer:

1308

____________

The correct answer is 1308.

A storé is offering a 20% discount on all items. Write an equation for the relationship between the discount price of an item, d, and its original price, p.


HELP THANK S

Answers

Answer:

There are many ways you can write this as an equation:

[tex]d=p-20 %[/tex]%

[tex]d=.8p[/tex]

[tex]d=p-.2p[/tex]

What is the value of x in the representation below
3,7,-3,-7

Answers

Answer:

-3

Step-by-step explanation:

Let's rewrite it as an equation

3*x + 2*1 = 7*(-1)

3x + 2 = -7

3x = -9

x = -3

The answer is -3 after going through the equation

Select the correct expressions.
Identify the equivalent expressions of 412x + x - 3) - 3x + 3 by substituting x = 2 and x = 3.
9x - 9
9x - 1
9x + x - 9
9(x - 1)
4(3x - 3) + 3 - 3x

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Answers

Answer:

9x -9

9(x - 1)

4(3x-3) - 3x + 3

 

( Hope this helps ) <(^w^)>

Add 5 1/5 and 4 3/5 as a fraction

Answers

Answer:

9 and 4/5

Step-by-step explanation:

Emily has 6 gallons of water josh has 23 quarts of water. How many more points does Emily have more than josh

Answers

Answer:

2 pints

Step-by-step explanation:

To determine the amount of pints that Emily has more than Josh, gallons and quarts have to be converted to pints and the value is then subtracted

1. Convert gallons and quarts to pints

1 gallon = 8 pints

6 gallons = 8 x 6 = 48 pints

1 quart = 2 pints

23 quarts = 2 x 23 = 46 pints

2. Determine the difference in the amount of pints Emily has and the amount Josh has

48 pints - 46 pints = 2 pints

HELP ASAP!!!!! A circle is shown. Secant A D and tangent E D intersect at point D outside of the circle. Secant A D intersects the circle at point B. The length of A B is a, the length of B D is 10, and the length of D E is 12.
Which equation results from applying the secant and tangent segment theorem to the figure?

12(a + 12) = 102
10 + 12 = a2
10(a + 10) = 122
10(12) = a2

Answers

Answer:

C)

10(a + 10) = 12 2

Applying the secant-tangent segment theorem, the equation that will result using the figure given is: C. 10(a + 10) = 12².

What is the Secant-tangent Segment Theorem?

The secant-tangent segment theorem states that if a tangent and a secant intersect at a point outside a circle, then the square of the measure of the products of the secant segment and its external secant segment equals the square of the measure of the tangent segment.

Thus, using the figure given, the equation that results from applying the secant-tangent segment theorem would be: C. 10(a + 10) = 12²

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In circle D with m \angle CDE= 60m∠CDE=60 and CD=3CD=3 units, find the length of arc CE. Round to the nearest hundredth

Answers

Answer:

Length of arc CE = 3.14 unit (Approx.)

Step-by-step explanation:

Given:

Radius of circle = 3 units

Angle between radius = 60°

Find:

Length of arc CE

Computation:

Length of arc = [θ/360][2πr]

Length of arc CE = [60/360][2(2/7)(3)]

Length of arc CE = [60/360][2(3.14)(3)]

Length of arc CE = [1/6][6(3.14)]

Length of arc CE = 3.14 unit (Approx.)

Answer:

15.08

Step-by-step explanation:

360/48 (2π18)

I need help ASAP... I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP...

Answers

Answer:

A & B

Step-by-step explanation:

Hope this helpsss

Answer:

A and B.

Step-by-step explanation:

I took this test

How many solutions will the system of equations have? System: y = 2x + 2 and y = x + 4

Answers

y=-2x+2
y=x2-2x+4

is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that

-2x+2=x2-2x+4

solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.
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