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
Ratling [72]
3 years ago
15

Which statements are true? Please see picture

Mathematics
2 answers:
azamat3 years ago
6 0

Answer:

a. False

b. True

c. False

d. True

e. False

f. True

Step-by-step explanation:

<em><u>By properties of logarithms:</u></em>

a. False: ㏒ₐb-㏒ₐc ≠ (㏒ₐb / ㏒ₐc) does not exists that property

b. True: (㏒ₐb)-(㏒ₐc) = ㏒ₐ(b/c)  <em>Logarithm of a Quotient</em>

c. False: Does not exists the property:  ㏒ₐ(c+b) = ㏒ₐc + ㏒ₐb

<em>so </em>

㏒₄(5x+16) ≠ ㏒₄5x + ㏒₄16 <em>but,</em><em>  </em>㏒₄16 + ㏒₄5x = 2 + ㏒₄5x  

<em>because</em> ㏒₄16 = 2.

d. True:  <em>Logarithm of a Product: </em>㏒ₐ(c×b) = ㏒ₐc + ㏒ₐb<em> </em>

<em>so</em>

<em> </em>㏒₄(16×5x) = ㏒₄16 + ㏒₄5x = 2 + ㏒₄5x

e. False: <em>Logarithm of a Power: </em> ㏒ₐ(c×b)ⁿ = n ㏒ₐ(c×b) = n (㏒ₐc + ㏒ₐb) = n ㏒ₐc + n ㏒ₐb <em> </em>

<em>so</em>

<em> </em>㏒ₐ(3x)² ≠ 2 ㏒ₐ3 + ㏒ₐx

f. Correct use of property in point e.

monitta3 years ago
5 0

Answer:

Following are the statements:

a. logₐb - logₐc = logₐb/logₐc

False.

b. logₐB - logₐc = logₐ(b/c)

True.

c. log₄(5x+16) = log₄5x+log₄16 = 2 +log₄5x

False.

d.  log₄(5x*16) = log₄5x+log₄16 = 2 +log₄5x

True.

e. logₐ(3x)₂ = 2 logₐ3 + logₐx

False.

f. logₐ(3x)₂ = 2 logₐ3 + 2 logₐx

You might be interested in
Please help with explanation if anyone can
diamong [38]

Answer:

3.7 million

Step-by-step explanation:

14,100,000 = 3,000,000 + 3p

3p = 11,100,000

p = 11,100,000 / 3

p = 3,700,000

6 0
2 years ago
The probability of event X is 30%. The probability of event Y is 40%. If events X and Y are mutually exclusive, what is the prob
Soloha48 [4]

The probability of event X or Y is P = 0.7, or, in percentage form, the probability is 70%.

<h3>How the get the probability of event X or Y?</h3>

First, two events are mutually exclusive if these events can't happen at the same time.

This means that if happens X, with a 30% of probability, then Y can't happen.

If happens Y, with a 40% of probability, then X can't happen.

Then the probability of X or Y (the probability that one of these two events happens, not both) is just the addition of the two individual probabilities.

Then we have:

P(X or Y) = 0.3 + 0.4 = 0.7

Or, in percent form, we get:

P(X or Y) = 70%

The probability of event X or Y is just 70%.

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

7 0
2 years ago
What percent of the players finished the walk in less than 2 hours? Show your work.
Kipish [7]

Answer:

I also need the same help :(((

Step-by-step explanation:

8 0
3 years ago
What is the absolute value of -45/6. I need serious help
icang [17]

Answer:

\frac{15}{2}

Step-by-step explanation:

The absolute value of a number is just its distance from zero. In other words, if it's negative, the absolute value would make the number positive. This makes the absolute value \frac{45}{6}. Now, reduce to get\frac{15}{2}.

7 0
2 years ago
Factor the following expression 14x + 49​
xxTIMURxx [149]

Answer:

7(2x +7)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • 14x+10y=72 14x+4y=96 Solve the following system of equations using any method
    11·1 answer
  • The three angle bisectors of ΔABC intersect at point P. Point P is the
    5·1 answer
  • Gia’s gross annual salary is $46,392.
    8·1 answer
  • Need heals please ❤️
    10·2 answers
  • What percent of 250 is 50<br> 20% <br>25%<br>50%<br>15%
    9·1 answer
  • What is the circumference of a circle with a radius of 5 m?
    14·2 answers
  • 1. 40-(-40)+(5x4) i need to know this for my online classes to pass
    7·2 answers
  • How to measure volume using formulas?
    13·2 answers
  • Select the proper order from the least to the greatest 1/2 5/6 2/7 4/2
    5·1 answer
  • an English teacher would like to divide 15 boys and 6 girls into groups each with the same combination of boys and girls and nob
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!