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
deff fn [24]
3 years ago
8

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variab

les represent positive real numbers.
7log x + 2log y

log(14xy)

log(x7 + y2)

log(x7y2)

log(7x + 2y)
Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Answer:

log(x^7·y^2)

Step-by-step explanation:

The applicable rules are ...

... log(a^b) = b·log(a)

... log(ab) = log(a) +log(b)

_____

The first term, 7log(x) can be rewritten as log(x^7). Note that an exponentiation operator is needed when this is written as text.

The second term 2log(y) can be rewritten as log(y^2). These two rewrites make use of the first rule above.

Now, you have the sum ...

... log(x^7) +log(y^2)

The second rule tells you this can be rewritten as ...

... log(x^7·y^2) . . . . . seems to match the intent of the 3rd selection

You might be interested in
16) The actual distance from Juan's home to Lake Mimo is 120 miles. The distance on a map is 2.5 inches. What scale could have b
Grace [21]

Answer: 1/48

Step-by-step explanation:

Write 2.5/120 as a fraction , then rewrite it as 25/1200 simplify and get 1/48

Hope this helps!

7 0
2 years ago
Sydney has 3 3/5 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 2/5. How many bows can Sydney mak
Zielflug [23.3K]

Answer:

9

Step-by-step explanation:

2/5 x 2 = 4/5

4/5 x 2, or 2/5 x 4 = 1 3/5

1 3/5 x 2, or 2/5 x 8 = 3 1/5

3 1/5 + 2/5, or 2/5 x 9 = 3 3/5

8 0
3 years ago
Select all points that are on the line through 0,5
Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = \frac{8-5}{2-0} = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

3 0
2 years ago
Read 2 more answers
2x+4y=24<br> -12x+8y=-16
EleoNora [17]
Dividing the first equation by 2
X + 2y = 12
Dividing the equation 2 by 4
-3x + 2y = -4
subtracting both equations
4x = 16
X = 4
Also 4 + 2y = 12
2y = 8
Y = 4
Please mark as brainliest
3 0
3 years ago
What is -4 - (8) More text
son4ous [18]

Answer:

-12

Step-by-step explanation:

(-4) - 8

Keep Flip Change

Keep

(-4)

Flip

- to +

Change to opposite

8 to -8

Result

-4 + -8 = -12

5 0
2 years ago
Read 2 more answers
Other questions:
  • Which are perfect squares? Check all that apply. 49 17 g 143 225
    5·2 answers
  • Can i please get help with this question?
    10·2 answers
  • For f(x)=4x+1 and g(x)=(x^2)-5, find (f+g)(x).
    12·1 answer
  • Which function do you evaluate first in g(f(x))? f(x) g(x) f(g(x))
    15·2 answers
  • HELP!! ASAP!!! PLEASE!!!!!!
    14·2 answers
  • How do I write 8 1/6 divided by 2 1/24 in simplest form?
    5·2 answers
  • How many leaves are on a tree
    7·2 answers
  • What is the constant of proportionality in the equation 3y=2r
    9·2 answers
  • 1. What does a straight line between two point represent?
    9·1 answer
  • Given: x-8&gt; -3.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!