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
nalin [4]
3 years ago
12

What is 2logx−logy+2logz written as a single logarithm? log(xz)^2/y log2x/2yz logx^2y/z^2 logx^2/yz^2

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

Answer: \log\dfrac{x^2z^2}{y}

Step-by-step explanation:

Properties of logarithm:

(i)\ \ n\log a = a^n\\\\ (ii)\ \ \log m +\log n =\log (mn)\\\\ (iii)\ \ \log m-\log n =\log\dfrac{m}{n}

Consider,

2\log x-\log y+2 \log z\\\\ =\log x^2-\log y+\log z^2\ \ \ \ \text{[By (i)]}\\\\= \log x^2+\log z^2-\log y\\\\=\log(x^2z^2)-\log y\ \ \ \ [\text{By } (ii) ]\\\\=\log(\dfrac{x^2z^2}{y})    \ \ \ \ [\text{By (iii)}]

You might be interested in
Find the slope of the line that passes through
Andreyy89

Answer:

-1/3

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1)

Plug in the 2 points:

(y2 - y1) / (x2 - x1)

(-2 + 1) / (2 + 1)

-1/3

So, the slope is -1/3

7 0
3 years ago
A soccer field is 120 yards long and 60 yards wide.How long is the diagonal of the field?
Triss [41]

Answer:

180 yards

Step-by-step explanation:

120 + 60 =180 so therefore you will travel 120 yards forward and 60 yards over so 180 yards total

4 0
4 years ago
Read 2 more answers
Simplify: 5(3x-4)-6(2x+3)
never [62]

Step-by-step explanation:

I am doing the same math and I have no idea one nobody is helping me :/ there just looking at my problem and saying the wrong number :((

4 0
3 years ago
Read 2 more answers
What is the quotient of 22 +3i/<br> 5 +2i
Darina [25.2K]

Answer:

4-i

Step-by-step explanation:

I did it on edg

3 0
3 years ago
( (8 times 1.95) + (3 times 2.95) +10.95) times 1.06
deff fn [24]
The answer is 36.057
5 0
3 years ago
Other questions:
  • Our solar system consists of eight major planets, including Earth. Jupiter, the largest planet, has an equatorial diameter of 88
    7·1 answer
  • And can anyone do this?!!
    11·1 answer
  • The table shows the data of a random sample of fish that were collected from and later released into a lake.
    6·2 answers
  • a teacher plans for groups of her students to eat lunch at tables. she has 34 students in her class. each group will have 7 stud
    12·1 answer
  • It is the answer<br>a<br>b<br>c<br>d​
    8·1 answer
  • Please can someone help me like right now .thank you
    8·1 answer
  • The price of an item has risen to $207 today. Yesterday it was $180. Find the percentage increase
    11·1 answer
  • Use the information from the graphs to write the equation in y=ab*^x
    6·1 answer
  • FREE BRAINLIEST<br> right answers only
    7·1 answer
  • What is the least number by which 700 should be multiplied to make it a prefect cube?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!