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 me I'll give you a brainliest
astraxan [27]
Okay try to round the whole number and see if you can solve that should help you
7 0
2 years ago
The second fret is 33.641 mm from the first fret. The third fret is 31.749 mm from the second fret. How far is the third fret fr
NikAS [45]

Answer:

65.39 mm

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help plss<br> this is due in an hour<br> i’ll give brainliest
scZoUnD [109]
Yss the answer is c
4 0
2 years ago
Can anyone help me with these two i don’t know how to solve these plz
Inessa [10]
180-106=74
X is congruent to 2y
x=74
74/2= 37
y=37

(4z+6) is congruent to 106
106-6= 100
100/4 = 25
z=25
3 0
3 years ago
The cost in dollars, C, of renting a carpet cleaner is given by the linear equation
choli [55]

Answer:

6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Equivalent fractions of 2 6th
    6·2 answers
  • Al and barb each got to the store buy colored supplies.Al buys 11 colored pencils for $0.69 each and Barb buys 3 packs of folder
    7·1 answer
  • Please help asap! Worth 15 points
    6·2 answers
  • Solve the Integral of 1/(1-y2)
    6·1 answer
  • 421 3/50 - 212 9/10 =
    10·2 answers
  • In ΔJKL, the measure of ∠L=90°, JL = 24, LK = 7, and KJ = 25. What is the value of the sine of ∠K to the nearest hundredth?
    9·1 answer
  • a landscaper estimates that a set of plants can be installed in six hours by 12 workers the landscaper wants to finish a set of
    8·1 answer
  • A person flips a coin 26 times and observes 41% of times head. Then, based on her observation, she claims that the probability o
    7·1 answer
  • 18. Ingrid usually runs 12 miles in 2 hours. If she
    14·1 answer
  • 5. (05.02 MC)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!