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
torisob [31]
3 years ago
15

Use the properties of logarithms to rewrite each expression in an equivalent form containing a single logarithm.

Mathematics
1 answer:
Scrat [10]3 years ago
6 0

Answer:

\frac{1}{2}\log(16) + \log(3) + \log(\frac{1}{4}) = log(3)

Step-by-step explanation:

Given equation:

\frac{1}{2}\log(16) + \log(3) + \log(\frac{1}{4})

now,

we know the properties of log function as:

1) log(A) + log(B) = log(AB)

2) log(A) - log(B) = \log(\frac{A}{B})

3) log(Aᵇ) = b × log(A)

therefore,

using property 3 we get

\log(16)^{\frac{1}{2}} + \log(3) + \log(\frac{1}{4})

or

\log(4) + \log(3) + \log(\frac{1}{4})

now,

using the property 2 we get

⇒ log(4) + log(3) + log(1) - log(4)

or

⇒ log(3) + log(1)

now,

using the property 1, we get

⇒ log(3 × 1)

or

⇒ log(3)

You might be interested in
How do you solve 75.25-11.92?
slamgirl [31]
Your answer would be 63.33. ((: ❤️
8 0
3 years ago
An instrument is NOT defective when: A holder is on notice that an instrument is defective when the holder: Julian receives a pr
saw5 [17]

Answer:

no

Step-by-step explanation:

3 0
3 years ago
What Is the solution to the system of equations? Y=-3x-2<br> 5x+2y=15
snow_tiger [21]

Answer:

x,y=-19,55

Step-by-step explanation:

plug in y.

5x+2(-3x-2)=15

5x-6x-4=15

-x=19

x=-19.

Plug in.

y=-3(-19)-2

y=55

correct is B.

Hope this helps :D

3 0
3 years ago
A group of cyclists went bike riding during a 7-day vacation. They biked 131 miles in the first three days. By the end of their
Nezavi [6.7K]

Answer: 156 miles

Step-by-step explanation:

Given, A group of cyclists went bike riding during a 7-day vacation.

Total distance they biked in first three days = 131 miles

Total distance they biked by the end of the vacation ( i.e. in 7 days ) = 287 miles

Then, the total distance they biked in last four days would be=

(Total distance they biked in 7 days ) - (Total distance they biked in first 3 days )

= 287 - 131 miles

= 156 miles

Hence, they biked 156 miles in last 4 days.

7 0
3 years ago
Find the real numbers x and y that make the equation true.<br> -4 + yi = x + 3i
erastova [34]
Equate the real and imaginary parts independently to find x and y.
Real part: -4=x, so x=-4
Imag. part yi=3i, so y=3
6 0
3 years ago
Other questions:
  • Find the sum of the given polynomials.
    7·2 answers
  • What is the value of cos (120 degrees)?<br> a. 5.0<br> b. 8.7<br> c. -1.7<br> d. -0.5
    5·1 answer
  • A car moved at a constant velocity during the first hour. It stopped for 2 hours at a mall and then moved ahead again at a const
    8·2 answers
  • 0.39 is 15% of what number
    13·1 answer
  • Solve the equation: 12+3/4x=14
    8·2 answers
  • If AB has a midpoint, the AB is<br> Select one:<br> a. a line segment <br> b. a line <br> c. a ray
    7·1 answer
  • Luis rides his bicycle 3/4 miles in 15 minutes along the bike trial. Assuming he rides at a constant rate, what is his speed? in
    5·1 answer
  • Ive worked out the yes can you help me on the no ill mark as brainliest if someone can anwser
    7·1 answer
  • Which letter has line symmetry q,p,l,j,m
    5·1 answer
  • 41 ÷ 533 long division r what
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!