Identify a solution of the equation: log2x+log(x−5)=2

1. x= -4
2.x= 2
3.x= 10
4.x= 5

Answers

Answer 1

Answer:

3.x= 10

Step-by-step explanation:

log 2x + log (x - 5) = 2log (2x(x - 5)) = 22x(x - 5) = 10²2(x² - 5x) = 100x² - 5x - 50 = 0x² + 5x - 10x - 50 = 0x(x + 5) - 10(x + 5) = 0(x - 10)(x + 5) = 0x = 10x = -5, this root is discounted as log should be positive.

Correct choice is 3.


Related Questions

jorge is making 6 large salads and 4 small salads. how many cherry tomatoes does he need

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please write the full questions:

so we will be able to tell you solution of this question

find the surface area of this cylinder round to the nearest tenth

Answers

Step-by-step explanation:

The surface area of a cylinder is given by

[tex]A = 2\pi r^2 + 2\pi rL[/tex]

[tex]\:\:\:\:=2\pi(3\:\text{cm})^2 + 2\pi(3\:\text{cm})(12\:\text{cm})[/tex]

[tex]\:\:\:\:= 282.7\:\text{cm}^2[/tex]

Which job would you rather accept and what is the difference in pay, if any? Job A: $2,350 semi-monthly Job B: $2,250 bi weekly

Answers

Answer:

job b

Step-by-step explanation:

Which numbers are between 9.23 and 9.25

Answers

Answer:

9.24

Step-by-step explanation:

For what value of t is f (t) = 0.0625

Answers

9514 1404 393

Answer:

  t = 4

Step-by-step explanation:

It can be useful to convert the numbers to ratios of integers.

  0.0625 = (0.5)^t

  1/16 = (1/2)^t

  1/2^4 = 1/2^t

  4 = t . . . . . . . match exponents

__

If you like, you can solve this using logarithms.

  0.0625 = 0.5^t

  log(0.0625) = t×log(0.5)

  t = log(0.0625)/log(0.5)

  t = 4

is -77.49 a integer?

Answers

Answer:

No

Step-by-step explanation:

Integers are numbers that can be written without any fractional parts. So any number with a decimal would not be considered an integer.

hope this helps!

Write the given expression without the absolute value symbol.
|x − y| − |y − x|

Answers

Answer:

- x - 2y

Step-by-step explanation:

x - y - y - x

- x - 2y

A rectangle has perimeter of 100cm. Write an equation which relates the
width of the rectangle as a function of its length.

Answers

Answer:

w = 50 - L

Step-by-step explanation:

p = 2(L+w)

100 = 2L + 2W

2w = 100 - 2L

W = (100 - 2L)/2

w = 50 - L

Evaluate piecewise function.

Shown in the picture please
help!

Answers

4 only fits into the interval 2 < x ≤ 7 (the bottom one listed), so you only need to do the calculation as if your function was f(x) = -6.

Now this is both a simple and tricky function, f(x) = -6. It’s tricky, because there’s no x on the right side. But that’s what makes it simple, once you understand how that works.

Since there isn’t any x on the right side, the output/y-value is just always -6. There’s no calculation needed to do.

So, f(4) = -6.


Recap:
Step 1: figure out which piece of the function to use
Step 2: evaluate the function only using that piece.

The sets M and F are defined as follows:
M = { a,c,f}
F = { f, g,j}
Find the intersection of M and F

Answers

Answer :

[tex] \mathrm{M \cap F ={ \{f} \}}[/tex]

The intersection of set M and F is {f}.

What is intersection of sets?

For any two sets, the set that contains all of common items is known as the intersection of sets. The intersection of sets is represented by the symbol "∩". The intersection A ∩B (also written as A intersection B) lists all the elements that are shared by any two sets A and B that are present in both sets.

What is the intersection of given sets?

The elements in set M are a, c and f.

The elements in set F are f, g and j.

In both the sets the common element is only 1 which is f so, the intersection of both sets is {f}.

Learn more: https://brainly.com/question/856690

#SPJ2

(Annuity number of​ periods) ​You've just bought a new​ flat-screen TV for ​$3,400 and the store you bought it from offers to let you finance the entire purchase at an annual rate of 16 percent compounded monthly. If you take the financing and make monthly payments of ​$140.00​, how long will it take to pay off the​ loan? How much will you pay in interest over the life of the​ loan?
a. The number of years it will take to pay off the loan is
nothing years?

Answers

9514 1404 393

Answer:

  2.5 years

  $736 in interest

Step-by-step explanation:

The relationship between the values in an amortization is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

Here, we have A = 140, P = 3400, r = 0.16 and we want to find t

  140 = 3400(0.16/12)/(1 -(1 +0.16/12)^(-12t))

  1 -(1 +0.16/12)^(-12t) = 1/3.0882353

  (1 +0.16/12)^(-12t) = 0.67619048

Taking logarithms gives ...

  -12t·log(1 +0.16/12) = log(0.67619048)

  t = log(0.67619048)/(-12·log(1+0.16/12)) ≈ 2.46177

It will take about 2.5 years to pay off the loan.

__

The total of payments is ...

  (2.46177)(12)($140) = $4135.77

so, the interest paid is ...

  $4135.77 -3400 = $735.77

You will pay about $736 in interest over the life of the loan.

_____

Additional comment

The number of payments is calculated to be about 29.54. You would probably make 30 payments, with the last payment being a different amount than $140. The actual amount will depend on when the payment is made, and the amount of it that is finance charge. We believe the remaining balance after 29 payments will be $75. After a full month, the finance charge due on that amount is $1.00, bringing the total amount of interest paid to $736.

If the loan is paid off in the middle of the month, the interest due is reduced. Above, we have calculated interest based on a last payment made part way through the month. We rounded up, partly because of the ambiguity in the final payment.

Wyatt Spends a winter day recording the temperature once every three hours for science class at 9 AM the temperature was -8.8°F between 9 AM and noon the temperature increase by 13.6°F between noon and 3 PM the temperature decreased by 6.9°F between 3 PM and 6 PM the temperature went down 2.1°F what was the temperature at 3 PM

Answers

TEST ANSWER

PLS IGNORE

Find the absolute value.
- |-4
-|-4|=

Answers

Answer:

The absolute value is 8.

Sure face of a prism

Answers

Answer:

Step-by-step explanation:

whats the distance between (3,24) and (7,56)

Answers

32.24 is the correct answer

Log type of question please help

Answers

Answer:

Step-by-step explanation:

Evaluate 4x + 8y for x= 2 and y=-2.
The value of the expression is

Answers

Answer:

4x+8y

on putting the value of

x=2 and y=-2

4(2)+8(-2)

8+(-16)

8-16

-8

I hope it is helpful

Answer:

24

Step-by-step explanation:

x = 2 and y = 2

4x + 8y

= 4(2) + 8(2)

= 8 + 16

= 24

NOTE: Remember that the once in the bracket are multiplying the once beside them.

When a normal six_ sided die is rolled , what is the probability of getting a 7?

Answers

Answer:

the probability is 0, since there are only six sides

Step-by-step explanation:

Hope that helps

What number line best shows how to solve -8-(2)

Answers

Answer:

Step-by-step explanation:

5tutu

Find to L.C.M of 75
100 150​

Answers

Answer:

the answer is 300

Step-by-step explanation:                                                                                        

So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 2 x 1 = 300

Most hummingbirds flap their wings about 50 times a second. How many times can a hummingbird flap its wings in one minute?

Answers

Answer:

3000

Step-by-step explanation:

50 flaps per second x 60 seconds in a minute = 3000 flaps

Using a factor tree, find all prime factors of 210

Answers

The answer is 2,3,5,7

Morty makes $200,000 a year selling stocks. If he loses 33% of his salary to taxes, what
does he make each week?
(explain work)
whoever responds this problem will get crown

Answers

Answer: $134,000

Step-by-step explanation:

We know that morty makes $200,000 a year. 1.00 or (100%)

We know the government takes 33% or (.33) of morty's annual income, to which we would get the equation (below)

200,000 x .33= x= 66,000

we subtract the $66,000 from the $200,000 to figure out the final answer

200,000-66,000

Final Answer

= $134,000

Answer and explanation please?​

Answers

Answer:

c= 13

Step-by-step explanation:

The complementary angles add up to 90° so we use some basic algebra to solve this question. like in the step by step explaination I have provided on paper

Question 4
1 pts
Write the equation of a line through (-2,-2), parallel to y=0
O x=-2
O x=1
O x=-1
O y=-2

Answers

Answer:

last, y=-2

Step-by-step explanation:

how many symmertry lines does a heart have

Answers

Answer:

Real Heart have no line of symmetry but the heart we draw has one line of symmetry which pass vertically to the heart...

Convert the expression 9 1/2 to a radical expression

Answers

Answer:

3

Step-by-step explanation:

9 1/2

(3^2) 1/2

3rd rule of multiplication

3^(2*1/2)

3^1 = 3

Need helpppppppppopo

Answers

Answer:

below

Step-by-step explanation:

*Not sure how your teacher wants you to round this, but here is how I do it

All you need to do to find the decimal form of a fraction is to take the numerator and divide it by the denominator :

     2 / 3 = 0.6666666.... and keeps going

              = 0.67

To convert this decimal to percentage just multiply it by 100 :

     0.67 x 100 = 67 %

Hope this helps! Best of luck <3

0.67 and 66% hope this helps :)

Helppppp meeeeeeeeeeeehhhh

Answers

Answer:

9.00002 and 0.009 igs I am trying my best to understand lol

Help will give Brainly points

Answers

Answer:

They are similar.

Step-by-step explanation:

123 + 36 + x = 180

159 + x = 180

(159 - 159) + x = 180 - 159

x = 21

36 + 21 + x = 180

57 + x = 180

(57 - 57) + x = 180 - 57

x = 123

CDE = 123 + 36 + 21

ABC = 123 + 36 + 21

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