1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mila [183]
3 years ago
9

URGENT HELP ME PLEASE

Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer:

(a)\log_3(\dfrac{81}{3})=3

(b)\log_5(\dfrac{625}{25})=2

(c)\log_2(\dfrac{64}{8})=3

(d)\log_4(\dfrac{64}{16})=1

(e)\log_6(36^4)=8

(f)\log(100^3)=6

Step-by-step explanation:

Let as consider the given equations are \log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?.

(a)

\log_3(\dfrac{81}{3})=\log_3(27)

\log_3(\dfrac{81}{3})=\log_3(3^3)

\log_3(\dfrac{81}{3})=3        [\because \log_aa^x=x]

(b)

\log_5(\dfrac{625}{25})=\log_5(25)

\log_5(\dfrac{625}{25})=\log_5(5^2)

\log_5(\dfrac{625}{25})=2        [\because \log_aa^x=x]

(c)

\log_2(\dfrac{64}{8})=\log_2(8)

\log_2(\dfrac{64}{8})=\log_2(2^3)

\log_2(\dfrac{64}{8})=3        [\because \log_aa^x=x]

(d)

\log_4(\dfrac{64}{16})=\log_4(4)

\log_4(\dfrac{64}{16})=1        [\because \log_aa^x=x]

(e)

\log_6(36^4)=\log_6((6^2)^4)

\log_6(36^4)=\log_6(6^8)

\log_6(36^4)=8            [\because \log_aa^x=x]

(f)

\log(100^3)=\log((10^2)^3)

\log(100^3)=\log(10^6)

\log(100^3)=6            [\because \log10^x=x]

You might be interested in
Ethan’s favorite kind of exercise is running. He runs on a path that is 1.75 miles long. Last week, Ethan ran on the path 6 time
Basile [38]

Answer:

10.5 miles

Step-by-step explanation:

You multiply the distance with the number of times he ran.

7 0
3 years ago
Select the function that represents the following transformations of f(x) = | x |:
lianna [129]

Answer:

g

Step-by-step explanation:

7 0
2 years ago
What is the area of this figure? Round to the tenth if necessary.
Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

a=\pi r^2/2

<u>3.14 will be used for pi!</u>

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

a=lw

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

32/2=16

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

\pi 16^2/2=401.92

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

14*32=448.

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

401.92+448

=849.92

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

3 0
2 years ago
What does the slope of each line represent
Westkost [7]
The time that each car traveled.
6 0
3 years ago
Using standard algorithm what does 82 times 18 equal
VashaNatasha [74]
82 times 18 would add up to 1,476. Hope this helped. 
6 0
2 years ago
Read 2 more answers
Other questions:
  • A $25,000 purchase decreases 12% in value per year. Determine the values of the purchase after 3 years and after 7 years.
    8·2 answers
  • What does h(40)=1820 mean in terms of the problem ? Help please
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=2%20%5Cdiv%203x%20-%201%20%3D%20%20-%202%20%2B%205%20%5Cdiv%206x" id="TexFormula1" title="2 \d
    13·1 answer
  • HELP!!! Does the graph represent a function and if so, why? No, some of the ordered pairs in this list have the same second elem
    8·1 answer
  • The sum of x and 25 is less than 75
    10·1 answer
  • Find the surface area of the<br> rectangular prism.<br> 3 cm<br> 10 cm<br> 7 cm<br> [?] sq cm
    9·1 answer
  • The product of 3 and r
    6·2 answers
  • For problems 4-7, perform the indicated operation and reduce the answer to lowest terms.
    15·1 answer
  • Help me pretty pleaseeee
    8·2 answers
  • Help trigonometry<br> cccccc
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!