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]
2 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]2 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
_____ cups rice is equivalent to 1 pound
Tanya [424]

Answer:

2.5 cups is equal to 1 pound.

Step-by-step explanation:

___2.5__ cups rice is equivalent to 1 pound

Hope This Helped

7 0
1 year ago
Read 2 more answers
PLEASE HELP SUPER URGENT
Sveta_85 [38]
The equation for the table is f(x)=3x+1 so I don’t know for a but for b it would be f(x) because 1 is greater than 5.
6 0
3 years ago
What polyhedron can be formed from a net diagram that has 2 congruent hexagons and 6 congruent rectangles?
nexus9112 [7]
A) hexagonal prism......................................................................
6 0
3 years ago
In a cross country meet, you run at a steady pace of 7 minutes a mile. If you finish the race in 21 minutes. How long is the rac
Aleks04 [339]
3 miles:
21 divided by 7 is 3
4 0
2 years ago
Read 2 more answers
3x - 9 = (-18)<br> Please help step by step please
GarryVolchara [31]

Answer: x = -3

Step-by-step explanation:

3x - 9 = -18

1. Add 9 to each side.

3x-9=-18

   +9  +9

3x=-9

2. Divide by 3.

3x/3 = -9/3

You are done.

x = -3

5 0
2 years ago
Other questions:
  • Use the function f(x) and g(x); to answer the question. f(x)=x^2+10;g(x)=x-3. which expression is equal to (f+g)(x)?
    8·1 answer
  • 21,985,233 rounded to the millions place
    10·1 answer
  • Jason needs 10 cups of milk to make a chocolate shake for his family. His measuring device measures liquids by the pint. If 1 pi
    5·1 answer
  • Tony buys 4kg of potatoes at £1.60 per kilogram and 2kg of onions at £1.80 per kilogram.
    7·2 answers
  • The ratio of the length of an airplane wing to its width is 9 to 1. If the length of a wing is 40.4 ​meters, how wide must it​ b
    15·1 answer
  • MpRashawn recently spent $100 to open a store selling tee-shirts. At his business, he purchases plain tee-shirts for $11 each, p
    6·2 answers
  • 1. Write a congruency statement for the pair of triangles. Please show your work.
    13·1 answer
  • Write three different expressions in any form equivalent to each given expressions below.​
    8·1 answer
  • Solve this <br> 6x+7=8x−15
    12·2 answers
  • Select the correct answer.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!