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
Free_Kalibri [48]
2 years ago
9

Rewrite the following expression as a single logarithm 2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)

Mathematics
1 answer:
mixer [17]2 years ago
5 0

The rewritten form of the expression as a single logarithm is; log {(x+3)²(x-2)^5}/(x-7)³(x²).

<h3>What is the rewritten form of the expression?</h3>

The expression given in the task content can be rewritten as a single logarithm by virtue of the laws of logarithms as follows;

2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)

= log(x+3)² - log(x-7)³ +log(x-2)^5-log(x^2)

= log {(x+3)²(x-2)^5}/(x-7)³(x²)

Read more on logarithm;

brainly.com/question/237321

#SPJ1

You might be interested in
What is the slope of the line that passes through the points (5,8) and ( 11, 8)?
LenaWriter [7]

(5, 8) and (11, 8)

(y - yo) = m.(x - xo)

(8 - 8) = m.(11 - 5)

0 = m.6

m = 0

So,

(y - yo) = 0.(x - xo)

(y - yo) = 0

y = yo

y = 8

7 0
2 years ago
About 33% of people who get their feet examined are found to have an ingrown toenail. What is the probability of a podiatrist ex
enot [183]

Answer:

The correct answer is 0.94147

Step-by-step explanation:

Let A denote the event that the podiatrist finds the first person with an ingrown toenail.

And (1 - A) denote the event that the podiatrist does not find the ingrown toenail.

While examining seven people, the podiatrist can find the very first person to have an ingrown toenail. Similarly he can find the second patient to have the ingrown toenail. Going in this way the probability of the first person to have an ingrown toenail is given by:

= A + (1 - A) × A + (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) ×  (1 - A) × (1 - A) × (1 - A) × (1 - A) × A.

= \frac{1}{3} + \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} .

= \frac{1}{3} + \frac{2}{3} \frac{1}{3} + (\frac{2}{3}) ^{2} \frac{1}{3} + (\frac{2}{3})^{3} \frac{1}{3} + (\frac{2}{3})^{4} \frac{1}{3} + (\frac{2}{3})^{5} \frac{1}{3} + (\frac{2}{3})^{6} \frac{1}{3}.

= 0.94147

We can also solve the above expression by using the geometric progression formula as well where common ratio is given by \dfrac{2}{3}.

8 0
3 years ago
If 10 pencils and 7 erasers cost $4.23 and 3 pencils and 1 eraser cost $0.95, what is the cost of 2 erasers?
QveST [7]

Answer: $0.58

<u>Step-by-step explanation:</u>

Let x represent pencil and y represent eraser

10x + 7y = 4.23   →   1(10x + 7y = 4.23)   →   10x + 7y =  4.23

3x  + y  = 0.95   →  -3(3x  + y  = 0.95)   →   <u>-21x - 7y</u> =<u> -6.65 </u>

                                                                    -11x         = -2.42

                                                                  <u>÷-11          </u>   <u>÷-11       </u>

                                                                         x        = 0.22  

      3x + y = 0.95

3(0.22) + y = 0.95

   0.66 + y = 0.95

               y = 0.29

2y = 2(0.29)  = 0.58


8 0
3 years ago
Determine if the number is rational (R) or irrational (I).
andrezito [222]

56213 o 75082106

Step-by-step explanation:

espero te sirva

8 0
2 years ago
The balance of an account after $40 withdraw <br>You need to translate to a math expression.
stepladder [879]

Answer:

Let's make "b" the amount in the account.

A withdrawal means a reduction in the balance. So we have

b - 40

8 0
2 years ago
Other questions:
  • What is the solution to the system of equations using the linear combination method {4x+y=5, 3x+y=8?
    6·2 answers
  • AREA ADDITION AND SUBTRACTION ASSISTANCE?
    15·1 answer
  • A train arrives at a station and waits 2 min before departing. Another train arrives at the station 18 minutes later, repeating
    14·2 answers
  • An inventor receives 4% of the cost of every product a company sells. If the company sells $5,000 worth of product, how much doe
    12·1 answer
  • 10 POINTS<br><br> Solve the combined inequality: <br><br> 6 -2x &lt; 12 or 7 + 2x &lt; -11
    12·1 answer
  • Please please help I am stuck and idk I tried so many times.
    6·1 answer
  • Kala will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $47.98 and costs an
    6·2 answers
  • Do the ratios 8/16 and 1/2 form a proportion?
    5·1 answer
  • 3. Si al doble de un número se le resta su mitad resulta 30. ¿Cuál es el número? Plantear ecuación y resolverla
    13·1 answer
  • GEOMETRY HOMEWORK HELP! PLS!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!