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
krek1111 [17]
3 years ago
9

Please help with 15, 17 and 19

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Given:

15. \log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)

17. \log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)

19. 2^{\log_2100}

To find:

The values of the given logarithms by using the properties of logarithms.

Solution:

15. We have,

\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)

Using property of logarithms, we get

\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1         [\because \log_aa=1]

Therefore, the value of \log_{\frac{1}{2}}\left(\dfrac{1}{2}\right) is 1.

17. We have,

\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)

Using properties of logarithms, we get

\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)                    [\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}]

\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1                 [\because \log_aa=1]

Therefore, the value of \log_{\frac{3}{4}}\left(\dfrac{4}{3}\right) is -1.

19. We have,

2^{\log_2100}

Using property of logarithms, we get

2^{\log_2100}=100          [\because a^{\log_ax}=x]

Therefore, the value of 2^{\log_2100} is 100.

You might be interested in
2(6k+8)-6k=4<br> What is the answer
lina2011 [118]

Answer:

k=-2

Step-by-step explanation:

2(6k+8)-6k=4

12k+16-6k=4

6k+16=4

6k=-12

k=-2

7 0
3 years ago
A LOT OF POINTS pls help and answer correctly if not I will report ty asap !
Solnce55 [7]

Answer:

hey

Step-by-step explanation:

to calculate perimeter, you require length,breadth

since points are given,find distance between points using distance formulae

<h2>root over (x2-x1)² +(y2-y1)²</h2>

______________________

<h3>Point H =(6,7)</h3><h3>Point I=(-6,-9)</h3><h3>Point J=(-10,-6)</h3><h3>Point G=2,10)</h3>

Now find distance between HI and IJ

HI gives the distance - length of rectangle

IJ gives the distance - breadth of rectangle

use the formulae ,2(length+breadth) to get perimeter

______________________

HI= root over 144+256= root 400

HI=20

IJ= root over 16+9= root 25

IJ=5

PERIMETER =2(20+5)

2×25

=50

6 0
2 years ago
A can of peas costing $0.37 is marked up 20% of cost. What is the selling price?
Rina8888 [55]
It's $0.44 cents my good friend......
3 0
3 years ago
Read 2 more answers
Brandon is selling gift cards. He earns a one-time pay out of $159 and then earns $30 for each gift card he sells. Write a equat
quester [9]

Answer:

g * $30 = p

Step-by-step explanation:

He earns $30 per gift card.

You multiply the amount of gift cards sold by the money you earn per gift card sold. g, being the gift cards sold. p, being the total pay.

4 0
2 years ago
HELP ASAP <br> What is the slope of the line on the graph?
ollegr [7]
The slope of this line is -1/6.  

2 Point:     (6,2)         (-6,6)
                   x₁ y₁         x₂ y₂
       

Remember: 
  
    rise          change in y          y₂ - y₁          6 - 2            4
 ---------- =  ------------------- = ------------- = ----------- = ----------
    run            change in x         x₂ - x₁         -6 - 6          -12


Simplify 4/-12

     4 ÷ 4             1
  -------      = ------------- = -1/3
   -12 ÷ 4          -3

The slope of the line is -1/3.






3 0
3 years ago
Other questions:
  • I need help its for Advanced Algebra
    6·1 answer
  • What is the surface area of a sphere with a radius of 20 m?
    14·2 answers
  • Lily built an orange shelf and a brown shelf to hang in her rom. The orange shelf is 5 feet 6 inches long. The brown shelf is tw
    6·1 answer
  • How many regular triangles in a square
    9·1 answer
  • Real world problem whose sum is 1 3/5
    9·2 answers
  • What is the measure of angle C?<br><br> A. 147°<br> B. 114<br> c. 33<br> D. 66
    14·2 answers
  • ASSIGNMEN
    12·1 answer
  • Please Help! Please write a detailed explanation of how you got your answer!!! Please don't write fake answers just for points.
    5·2 answers
  • The length of the hypotenuse (x) is an irrational number
    9·1 answer
  • A model car is built at a scale of 1 to 30. If the model car is 5 inches long, how many feet long is the actual car?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!