Use the properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.​

Use The Properties Of Logarithms To Expand Each Logarithmic Expression As Much As Possible. Where Possible,

Answers

Answer 1

Answer:

1/5log2(x)+4/5log2(y)-4/5

Step-by-step explanation:

=log2{(xy^4/16)}^1/5

=1/5×log2(xy^4/16)

=1/5×{log2(xy^4)-log2(16)}

=1/5×{log2(x)+log2(y^4)-log2(2^4)}

=1/5×{log2(x)+log2(y^4)-4)} ( as loga(a^x)=x)

=1/5×log2(x)+1/5log2(y^4)-4×1/5 (distribute 1/5 through the parentheses)

=1/5×log2(x)+1/5×4log2(y)-4/5

=1/5log2(x)+4/5log2(y)-4/5


Related Questions

PLEASE HELP FAST!!!! Which could be the first in solving the equation represented by the model below?

Which one?
A. Add 4 positive unit tiles to each side
B. Remove 4 unit tiles from each side
C. Add 6 positive unit tiles to each side
D. Remove 6 unit tiles from each side

Answers

The answer will be C

Answer:

A. add 4 positive unit tiles to each side

Step-by-step explanation:

The reason is because its easier to solve without having to worry about negatives

pleaseee help

6x7/8=
5/6x2/5=

Answers

6×7/8 =5 1/4 and 5/6x2/5= 1/3

PLEASE HELP IM GIVING BRAINLIEST!

Answers

Answer:

-1/7

Step-by-step explanation:

Mark me as brainliest

Answer:

m = 1/7

Step-by-step explanation:

(0 - 1)/(-7 - 0)

-1/-7 = 1/7

A soccer team won 11 games last year. This year they won 13 games. What was the percent increase in the number of games they won?

Answers

Answer:

About 18% increase

Step-by-step explanation:

how do i find the value of x in -5 = .5x

Answers

Answer:

[tex] - 5 = 0.5x \\ \frac{ - 5}{0.5} = x \\ - 10 = x[/tex]

Step-by-step explanation:

this is the step

2. After election results of 378 votes were tallied, the new student-body president won by a margin of 5 to 4. How many votes did she get?​

Answers

Answer:

473 or 472, depends on how you round

Step-by-step explanation:

378/4 = 94.5

94.5 x 5 = 472.5

The number of votes she gets will be 473.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

2. After election results of 378 votes were tallied, the new student-body president won by a margin of 5 to 4.

Then the number of votes she gets that will be

→ 378 x 5 / 4

→ 378 x 1.25

→ 472.5 ≅ 473

More about the multiplication link is given below.

https://brainly.com/question/19943359

#SPJ2

Can you solve 3.5 x 4.9 using area models?

Answers

Answer:

 the answer is  17.15

Step-by-step explanation:

Answer:

17.15

Step-by-step explanation:

3.5 x 4.9 = 17.15

-TheUnknownScientist

Use the graph below to fill in the blank with the correct number:
f(-2) =
(3 points)
5 4 $
.
2
-5 4 3 2 1
2 3 4 5
-2
.
-3
5
Blank 1:

Answers

Answer:

f(-2) = 2

f(-3) = 0

f(1) = -2

f(0) = 1

answerrr the question please xx

Answers

Answer:

2

Step-by-step explanation:

one vertically and one horizontally

The answer is 2
Sorry if wrong

Problem 3.2
Jordan is mixing water and flour to make tortillas. The
number of cups of water, w, needed for f cups of flour
is described by the equation w=0.75f.
How many cups of water are needed to mix with 4 cups
of flour?
cups of water

Answers

Answer:

1:1

Step-by-step explanation:

w = f, which means the amount of water equals the amount of flour.

In which quadrant is the point (–3, 5) located? quadrant I quadrant II quadrant III quadrant IV

Answers

Answer:

B

Step-by-step explanation:

just ended the test

Answer: (-3, 5) : Quadrant 2

6.2 x 0.6 worth 25 points have a good day!

Answers

Answer: 3.72

Explanation:

6.2
*0.6
———
372
-000
———
3.72

to find the square root of a number do you divide by 2

Answers

Yes you divide by 2! Good luck

Express the recurring decimal 0.034 (The 34 is recurring) as a fraction in its simplest form.

Answers

Answer:

34/1000

Step-by-step explanation:

34÷1000 equals 0.034

What is the slope of this line?

Answers

Answer:

The slope is -1

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

nice phone case

ASAP HELP ME!!!!!!!

1. How can you distinguish between linear and exponential functions?
2. How do increasing linear functions and exponential growth functions compare?
3. Give an example of a linear function and an exponential function.

Answers

Answer:

1. Linear functions are written in the form [tex]mx+b[/tex] whereas exponential functions are written in the form [tex]b^{x}[/tex].

2. Increasing exponential growth functions will rise much quicker than increasing linear functions.

3. Example of a linear function: [tex]y=2x+1[/tex], example of an exponential function: [tex]f(x)=3^{x}[/tex]

Step-by-step explanation:

Answer:

Linear functions are written in the form  whereas exponential functions are written in the form .

Step-by-step explanation:

PLEASE HELP IV ASKED A MILLION TIMES!!!!! ASAP WITH BRAINLIEST!!!!!!!!!

Are the triangles APB and APR similar? Explain in terms of the following:

Corresponding angles and Parallel lines cut by a transversal

AA Criterion

Answers

Answer:

yes

Step-by-step explanation:

Please give me brainleist

Make a sketch of a linear relationship with slope 3 that is not a proportional relationship show how you know hay slope is 3 write an equation for the line

Answers

Answer:

A proportional relationship is something like:

y = k*x

Where k is the constant of proportionality

And a linear relationship is something like:

y = a*x + b

Is easy to see that if:

a = k, and b = 0, this would be a proportional relationship.

Then if we want to have a slope equal to 3, but this must not be a proportional relationship, we must only have b different than 0.

This could be something like:

y = 3*x + 1

The graph of this is:

A linear non - proportional relationship could be written with as a slope - intercept with a non - zero intercept value. One such relationship with a slope of 3 can be expressed thus :

y = 3x + 5

Here, the linear relationship, has a slope value of 3 and an intercept value of 5. The function cannot be proportional due to the presence of a non-zero constant

Hence, Using a graphing calculator, the sketch of the linear relationship is attached.

Learn more : https://brainly.com/question/18405415

Find the perimeter and area of a circle with diameter 14 m​

Answers

Answer:

perimeter = 43.96 m

area = 153,86 m2

Step-by-step explanation:

d = 14 m

r = 7 m

perimeter = 2πR = 43.96 m

area = π[tex]R^{2}[/tex] = 153,86 m2

Find radius (half diameter) then area is Pi x r squared which is Pi x49 for area and permitter is 2 x Pi x r which in this case is pi x 14

Which of the following functions represents the graph on
the left? (Hint: Plug in your x values from the previous
slide. Do they produce f(x)=0?)
O f(x) = (x-6)(x+2)
O f(x) = (x+6) (x - 2)

Answers

9514 1404 393

Answer:

  f(x) = (x -6)(x +2)

Step-by-step explanation:

The graph shows the x-intercepts are -2 and +6. The factors will be binomials such that these values make the factors zero: (x +2) and (x -6).

  f(x) = (x -6)(x +2)

Julie is about to ride a straight water slide. The length of the water slide itself is 20 meters. The splash pool at the end of the slide is 16 meters away from the base of the tower that leads up to the launching platform. How high is the launching platform?

Answers

Answer:

The launching platform height is 12 meters.

Step-by-step explanation:

Which ratio is equivalent to 3;9?

Answers

Answer:

sorry if its incorrect

Step-by-step explanation:

I think its 18:54

6:18
9:27
1:3
I hope this helps

Point Q'Q

Q, prime is the image of Q(0,6)Q(0,6)Q, left parenthesis, 0, comma, 6, right parenthesis under the translation (x,y)\to(x+7,y-5)(x,y)→(x+7,y−5)left parenthesis, x, comma, y, right parenthesis, \to, left parenthesis, x, plus, 7, comma, y, minus, 5, right parenthesis
\

Answers

Answer:

9,2

Step-by-step explanation:

i got it on khan

Answer:

7,1

Step-by-step explanation:

let's add 7 to x

0+7=7

let's subtract 5 from y

6-5=1

Q' is (7,1)

he linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic book when Lucy bought it? A graph titled Value of Lucy' s Comic Book has Years since Lucy bought comic book on the x-axis, and value (dollars) on the y-axis. Points are at (1, 40), (2, 55), (3, 70), (4, 85). $10 $15 $25 $40

Answers

Answer:

C. $25

Step-by-step explanation:

#dg#nutiy

Answer:

The answer is 25.

Step-by-step explanation:

I did it on Edge.. and got it right

PLS HELP IM FAILING MY MATH CLASS

Answers

B

Look at the pattern, they all go up by 0.5
For example, 0.5+0.5=1.0, and so fourth

Have a great day!

Please help me out!​

Answers

Answer:

C is correct ans

Step-by-step explanation:

Please help me with this

Answers

Answer:

hi friend me

Step-by-step explanation:

Answer:

Don't you need an equation to find the equation perpendicular to it? Im confused

help with khan academy plzzz!!!

Answers

Answer:

Your slope is 2/3

Step-by-step explanation:

Rise/Run

=2/3

A function has the function rule y = x - 7. If the input is 4, what is the output?

A. 3
B. -3
C. 11
D. -11

Answers

Answer:

The awnser is B. -3

Step-by-step explanation:

4-7=-3

x-7= y

someone help :( 3333333

Answers

Answer:

5 feet

mark above answer BRILLIANT

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