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
Dafna11 [192]
3 years ago
12

Which expression is equivalent to log c x2-1/5x

Mathematics
2 answers:
Aleks04 [339]3 years ago
6 0
Answer
C is the correct answer

㏒(x²-1) - (㏒5 + ㏒x)


Explanation
The law of logarithm says; 
㏒AB = ㏒₃A + ㏒₃B
㏒C/B = ㏒₃C - ㏒₃B
So, the given equation will be,

㏒((x²-1)/5x) = ㏒(x²-1) - ㏒5x
                      = ㏒(x²-1) - (㏒5 + ㏒x)

              
navik [9.2K]3 years ago
6 0
 Hello! For this problem we need to make use of two existing logarithmic properties. These are:

1. log \frac{M}{N} is equal to log M-logN
2. log(MN) is equal to log M+logN

Following the first property, we can simplify the expression to log (x^{2}-1)-log(5x).

Then, we will use the second property to the term 5x. The final form of the expression would then be log(x^{2}-1)-(log5+logx).

ANSWER: log(x^{2}-1)-(log5+logx)  (third option)
You might be interested in
Hey, Its the same person. This is Algebra 2. Please Help!
suter [353]

Answer:

first option

Step-by-step explanation:

Given

f(x) = \frac{2x^2+5x-12}{x+4} ← factorise the numerator

     = \frac{(x + 4)(2x-3)}{x+4} ← cancel (x + 4) on numerator/ denominator

     = 2x - 3

Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is

x = - 4

Substitute x = - 4 into the simplified f(x) for y- coordinate

f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11

The discontinuity occurs at (- 4, - 11 )

To obtain the zero let f(x) = 0, that is

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

There is a zero at ( \frac{3}{2}, 0 )

Thus

discontinuity at (- 4, - 11 ), zero at ( \frac{3}{2}, 0 )

7 0
3 years ago
Suppose that prices of recently sold homes in one neighborhood have a mean of $215,000 with a standard deviation of $8900. Using
bonufazy [111]

Answer:

The minimum percentage of recently sold homes with prices between $197,200 and $232,800 is 75%.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by 100(1 - \frac{1}{k^{2}}).

In this question:

Mean of $215,000, standard deviation of $8900.

What is the minimum percentage of recently sold homes with prices between $197,200 and $232,800?

215000 - 2*8900 = 197200

215000 + 2*8900 = 232800

Within 2 standard deviations of the mean, so:

The minimum percentage of recently sold homes with prices between $197,200 and $232,800 is 75%.

4 0
3 years ago
HELP.
wolverine [178]

Answer:

x=8

Step-by-step explanation:

5 0
3 years ago
Solve the proportion: 12/16=9/48x
ivanzaharov [21]

Hey there

the answer is

x=4

thank you

    OFFICIALLYSAVAGE2003

5 0
3 years ago
Find the equation of the line shown.
vladimir1956 [14]

Answer:

y = - x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line

m = \frac{0-9}{9-0} = \frac{-9}{9} = - 1

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - x + 9 ← equation of line

4 0
2 years ago
Read 2 more answers
Other questions:
  • A baseball team played 75 games and lost 20% of them. How many games did the team lose? 15 20 55 60
    7·2 answers
  • If the exterior sides of two adjacent angles are opposite rays, then the angles are _____ angles.
    5·2 answers
  • If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10​
    10·1 answer
  • Someone help please. im actually dumb.
    15·1 answer
  • What does 1/5x13/20 equal
    10·2 answers
  • I need some help plzzzzz
    13·2 answers
  • 48 é dividido por 4?​
    5·2 answers
  • Help plz plz plz plz i need this
    6·1 answer
  • in a gymnastics competition, Suzy scored 9.4, 8.7, and 9.5 and Tammy scored 9.5, 9.2 and 8.9. what were each of their average sc
    11·1 answer
  • Solve the inequality. Graph the solution set, and write it using interval notation. |5x+4|less than or equal to 10
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!