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
Veronica has been saving dimes and quarters and has a total of 86 coins worth $9.00. How many
taurus [48]
The answer to your question is 4.11 if I’m correct
8 0
2 years ago
2x+10=6(x-1) What does x equal
Gennadij [26K]

Answer:

x=4

Step-by-step explanation:

2x+10=6(x-1)

2x+10=6x-6

10=6x-2x-6

10=4x-6

16=4x

4=x

4 0
3 years ago
Joe has eaten 3/5 of a pizza. Jane has eaten 1/6 of a pizza.
Lelu [443]

Answer:

3.6

Step-by-step explanation:

8 0
3 years ago
5
steposvetlana [31]

Answer:

(h o k)(3)=  3

(K o h)(-4b)= - 4b

Step-by-step explanation:

Composition of a function and its inverse function returns the input

(h o k)(3)=  3

(K o h)(-4b)= - 4b

8 0
3 years ago
Read 2 more answers
What are composite for 48?
weqwewe [10]
<span> It can be divided by 8 and 6. 8x6=48.</span>
3 0
3 years ago
Other questions:
  • What are the coordinates of the midpoint of the line segment with the endpoints (2,-5) and (8,3)
    11·1 answer
  • What is the remainder when you divide 4x³ - 5x² + 3x - 1 by x - 2?
    6·2 answers
  • Harry took a loan from the bank.
    8·1 answer
  • The assignment of tasks to student union board members. Assume that there are 8 board members: 6 females, and 2 males including
    7·1 answer
  • Write an exspression for ''h less than 13''
    10·2 answers
  • PLEASE HELP WILL GIVE BRAINLIEST! ASAP please! ​
    12·1 answer
  • 14x-5&gt;-3x+114. pls answer ASAP
    9·1 answer
  • |x|+|x+1|+|x+2|+|x+3|+...+|x+2021=2021x<br>​
    12·1 answer
  • The graph shows a linear function.
    9·1 answer
  • Guys I really need some help this is due tomorrow Help me asap
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!