How can we simplify this expression below into a single logarithm? 3log(x)+1/2log(4y)−log(z)

Answers

Answer 1

Answer:

[tex]log(\frac{2x^3\sqrt{y} }{z} )[/tex]

Step-by-step explanation:

We can start by using the power property of logarithms to rewrite the expression. We raise the contents of the logarithm to the power of the coefficient:

[tex]log(x^3) + log([4y]^\frac{1}{2} )-log(z)\\log(x^3) + log(2\sqrt{y})-log(z)[/tex]

Now, we can use both the addition and subtraction properties of logarithms to rewrite the expression. Addition becomes multiplication while subtraction becomes division:

[tex]log(\frac{x^3*2\sqrt{y}}{z} )[/tex]

And to write it in a more proper way:

[tex]log(\frac{2x^3\sqrt{y} }{z} )[/tex]


Related Questions

Which is greater, 100^10 or 10^100

Answers

Answer:

Both are the same.

Step-by-step explanation:

If you multiply 100 by itself 10 times you'll get the same thing as when you multiply 10 by itself 100 times.

Statement about the function f(x)=5(0.9)^x

Answers

Answer:

It's an exponential function

Step-by-step explanation:

That's one statement

Hope it helped

Answer: all the above

Explanation: hope that helps lol

Create a proportion using the form %/100 = is/of to represent the following word problem.

14 is what percent of 50?

x/100 = 14/50
14/100 = x/50
14/100 = 50/x
x/100 = 50/14

Answers

Answer:

x/100 = 14/50

Step-by-step explanation:

x is %

14 is x % of 50

C is your answer :) trust my friend

Balr's new computer costs less than twice the cost of her old computer. Her new computer cost $709. How much did Blair's old computer cost?

Answers

Answer:

$357

Step-by-step explanation:

y+1=3(x – 4)
2-intercept:
C
y-intercept:

Answers

Answer:

x-intercept is (13/3, 0)  

y-intercept is (0,-13)

Step-by-step explanation:

change y+1 = 3(x-4) into slope-intercept form:

y+1 = 3x-12

y = 3x-13

y-intercept is (0,-13)

to get x-intercept, plug zero in for 'y' and solve for 'x':

0 = 3x-13

13 = 3x

13/3 = x

x-intercept is (13/3, 0)  

Justin wanted to walk 3.5 miles a day for a whole year if he meets his goal of walking 3.5 miles a day for the entire year, how total miles will Justin walk in a year?

Answers

Answer:

1277.5

Step-by-step explanation:

365 days in a year. If he walks daily 3.5 miles, then 3.5*365

3.5*365= 1277.5

Which is an x-intercept of the continuous function in the
table?
(0, -6)
(3, 0)
(-6, 0)
(0, 3)

Answers

(3,0)
:) hope this helps

Answer:

The answer is (3,0)

Step-by-step explanation:

Simplify -1| 2/3 -4| divided by 5/6


i don’t have much time i will mark you as brailiest

Answers

Answer:3rd one

Step-by-step explanation:DO THIS CAREFULLY

25 ova 9 yea yea yea byeeeee

Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.

Answers

Answer:

V=168ft³

Step-by-step explanation:

V=

w-6

h-4

l-7  

V = 168ft³

The first answer is correct

What is the point of intersection when the system of equations below is graphed on the coordinate plane?
-x+y=4
6x+y=-3

A. (1, -3)
B. (-1,3)
C. (1,3)
D. (-1, -3)

Answers

Answer:(-1,3)B

Step-by-step explanation:

just graph on desmos

please help meeeeeeeeeeeee

Answers

Answer:

The pumpkin gained 33 pounds each week.

Step-by-step explanation:

Find the area of the shaded region. Round to the nearest tenth.

Given: the radius of the circle is 5 inches.

Answers

Answer:

a = 21.5 in²

Step-by-step explanation:

Area of square

a = s²

a = 10²

a = 100

--------------------

Area of circle

a = πr²

a = π5²

a =π*25

a = 78.5398163397

-----------------------

Area shaded

a = square - circle

a = 100 - 78.5398163397

a = 21.4601836603

Rounded

a = 21.5 in²

can someone help me pls

Answers

Answer:

Step-by-step explanation:

Plz helpp need this noww​

Answers

Answer:

after 4 hours she cycled 48+ 20 which is 68 miles

Step-by-step explanation:

Answer:

So, d(4)=68. That means that after 4 hours, Joanna has cycled 68 miles.

Step-by-step explanation:

First, we need to find what d(4) equals. In this equation t=4, so to solve plugin 4 and simplify.  Therefore, the equation is [tex]d(4)=12(4)+20[/tex]. Once you multiply and add you get d(4)=68; this answers the first question.

Then, the next two questions ask you to interpret this answer. To do that go back and read what each variable stands for. "t" is for the time Joanna has cycled. So, in the equation d(4), 4 hours have passed. Additionally, "d(4)" represents the number of miles she has ridden. This means since d(4)=68 she has cycled 68 miles.

Note that since I cannot see the options I guessed at the exact wording, but the answers should be similar to what I wrote.

ANSWER PLEASEEEE ILL GIVE THE BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

try D. if that isnt it try C. not too sure

Answer:

0.91

Step-by-step explanation:

The scatterplot shows a strong positive correlation which almost forms a perfect line.

The most appropriate correlation would be 0.91.

If the correlation was 0.21 then the plots would be more scattered.

Hope this helps you.

what is the vertex of a parabola represented by the equation f(x) = -2 (x-4)^2 - 7

Answers

Answer:

f ( x ) = x ^2  + 1

f ( x ) = 7 x^ 2  + 5 x − 4

f ( x ) = 4 ( x − 3 ) ^2

Step-by-step explanation:

a number plus three and seven-tenths

Write as an algebraic expression

Answers

Answer:

x + 3 7/10

Step-by-step explanation:

X represents the unknown number

Calculate angle x on the kite.
10
966
X
24°
O x = 100
O x = 96
X = 120
O x = 24

Answers

Answer:

10

966

X

24°

O x = 100

O x = 96

X = 120

O x = 24

the sum of the three numbers is 94. The second number is 2 times the third. The first number is 6 more than the third. what are the numbers?

Answers

Answer:

28, 44, 22

Step-by-step explanation:

a+b+c = 94

2×c = b

a = c+6

=>

c+6 + 2×c + c = 94

4×c + 6 = 94

4×c = 88

c = 22

=>

b = 2×22 = 44

a = 22 + 6 = 28

28 + 44 + 22 = 94

I need filler, hope this helps

The diagram shows a circle inside a square.
Work out the area of the circle.

Answers

Answer:

I did the same question in mathswatch, the exact answer is 201.06193

Step-by-step explanation:

16/2 = 8

8π^2 = 201.06193

Round it to whatever the question says to, have a great day <3

Answer:

A = 512π or 1608.49543864

Step-by-step explanation:

A = π(8)^3

16/2=8

Please help me. The question is in the image.

Answers

Answer:

10

Step-by-step explanation:

Intersecting Chords Formula:(segment piece) x (segment piece) =

       (segment piece) x (segment piece)

10x = 2*50

10x = 100

Divide by 10

10x/10 = 100/10

x = 10

fractions whose values are between 9/20 and 13/25

Answers

Answer:

10/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{9}{20} = \frac{9 \times 5}{20 \times 5} = \frac{45}{100}[/tex]

[tex]\frac{13}{25} = \frac{13 \times 4}{25 \times 4} = \frac{52}{100}[/tex]

Fractions whose values are between 9/20 and 13/25 :

[tex]\frac{46}{100}, \ \frac{47}{100}, \frac{48}{100}[/tex], . . .

please help me i really need it.

Answers

To graph use your graphing calculator and plug in the function to y = and graph it

In a group of 20 students there are 12 boys and 8 girls 4 of the boys play on foot ball team what is the probability of choosing 1 student at random from the group who is not on football team

Answers

Answer:

There is a 1 in 5 chance. (1/5)

Ecuaciones 6x+18=0 respuesta

Answers

Answer:

x=3

Step-by-step explanation:

6x+18=0

Subtract 18

6x=18

Divide by 6

x=3

Hope I helped, have a nice day :)

1. Samuel is out with a kite. When he takes a break he attaches it to the floor. The kite is on a thread that is 16 meters long and makes a 30 degrees angle with the floor. How high above the floor is the kite?

Answers

Answer:

[tex]h=8m[/tex]

Step-by-step explanation:

From the question we are told that:

Slant height [tex]S=16meters[/tex]

Angle  [tex]\theta =30[/tex]

Generally the equation for Height h is mathematically given by

 [tex]h=Ssin\theta[/tex]

 [tex]h=16*sin30[/tex]

 [tex]h=8m[/tex]

Solve for x. Round to the nearest tenth. Please help

Answers

Answer:

answer is 64x68

Step-by-step explanation:

Answer:

Step-by-step explanation:

take 38 degree as reference angle

using sin rule

sin 38=opposite/hypotenuse

0.61=x/13

0.61*13=x

7.93=x

8=x

25 POINTS!!!!!A right triangle has hypotenuse with a length of 13 cm. The length of one leg is 5 cm. What is the area of the triangle?
A. 65
B.60
C.32.5
D.30

Answers

Answer:

The special right triangle that has a hypotenuse of 13 units is the right triangle that has legs of length 5 units and 12 units.

Answer: the answer is 30

Step-by-step explanation:

i jusd did it sorry i'm late and could't help you

Can someone simplify? I'm confused-

Answers

(64/56)^2 x (1/343) x 7^-9

=9.44x10^-11

Solve 0.25[2.5x+1.5(x-4)]=-x

Answers

Answer:

x = 0.75

Step-by-step explanation:

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