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
Sav [38]
3 years ago
6

Which is log x+ 6 log(x+7) written as a single logarithm.

Mathematics
2 answers:
Over [174]3 years ago
6 0

Answer:

D

Step-by-step explanation:

We can use 2 properties of logs to write this as single logarithm:

1. Log(A^B)=BLog A

2. Log x + Log y = Log (x*y)

<em>We can use property #1 to write this as:</em>

5Logx+6Log(x+7)\\=Logx^{5}+Log(x+7)^{6}

<em>Now we can use property #2 to write this as:</em>

<em>Logx^{5}+Log(x+7)^{6}\\=Log((x^5)((x+7)^6)\\=Logx^{5}(x+7)^{6}</em>

<em />

<em>We see that answer choice D is right.</em>

Elina [12.6K]3 years ago
4 0

Answer: option d.

Step-by-step explanation:

 To solve this problem you must keep on mind the properties of logarithms:

log(b)-log(a)=log(\frac{b}{a})\\\\log(b)+log(a)=log(ba)\\\\a*log(b)=log(b)^a

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

5logx+6log(x+7)=logx^5+log(x+7)^6=logx^5(x+7)^6

Then, the answer is the option d.

You might be interested in
Evaluate x2 + 3x – 7+ 8 when x = 4.
Karo-lina-s [1.5K]

Answer:

29

Step-by-step explanation:

Since they have given you x = 4, simply sub it into the equation,

(4)^2 + 3(4) - 7 + 8

=  29

3 0
3 years ago
Read 2 more answers
Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?
Wewaii [24]

Answer:

$1,800

Step-by-step explanation:

If Michael works 30 hours a week for $15 an hour we can use the equation:

15 x 30 = 450.

Now just multiply the given answer by 4 and you're left with:

450 x 4 = 1800.

4 0
2 years ago
Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x
Katarina [22]

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = 3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4

fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4

fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4

fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}

fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}

fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

x(x^{2}+x) \neq 0

If x = 0, the function doesn't exist.

x^{2}+x \neq0

x(x+1) \neq0

x+1\neq0

x\neq-1

<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>

5 0
3 years ago
What is the value of 7 in 506,087
statuscvo [17]
The 7 in 506,087 is in the ones place.
7 0
2 years ago
Read 2 more answers
Would appreciate any help with question 7.
gregori [183]

Answer:

Hello!!

What is the relationship between the number of sides of a regular polygon and its rotational order ?

the number of sides= rotational order

Hope this helps!!

4 0
2 years ago
Other questions:
  • Convert 3/16 inch to a decimal
    11·1 answer
  • Which of the following shows a number in fraction form?
    5·1 answer
  • On the first 4 quizzes of her chemistry class, nadia got an average score of 88. what does she need on the next quiz to have an
    11·1 answer
  • Write the following equation in slope-intercept form.<br> 1/2-y+6=0
    13·1 answer
  • Please help me with this math question ASAP !!!!!!
    14·1 answer
  • Arionna claims that since there are 3 feet in a yard there are 9 cubic feet in a cubic yard
    9·2 answers
  • I REALLY NEED HELP! I WILL GIVE BRAINLIEST IF YOU ARE CORRECT!!! IM SO LATE!!!
    15·2 answers
  • 2[32-(4-1)³] answer.​
    6·1 answer
  • PLS I WILL GIVE BRAINLIEST AND IT IS WORTH DOUBLE POINTS!!!
    12·2 answers
  • A line that includes the point(4, 5)has a slope of 0 .What is its equation in slope-intercept form?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!