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
nalin [4]
3 years ago
5

For the love of God help me !! I'm desperate for it tomorrow

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0
Try to relax.  Your desperation has surely progressed to the point where
you're unable to think clearly, and to agonize over it any further would only
cause you more pain and frustration.
I've never seen this kind of problem before.  But I arrived here in a calm state,
having just finished my dinner and spent a few minutes rubbing my dogs, and
I believe I've been able to crack the case.

Consider this:  (2)^a negative power = (1/2)^the same power but positive.

So: 
Whatever power (2) must be raised to, in order to reach some number 'N',
the same number 'N' can be reached by raising (1/2) to the same power
but negative.

What I just said in that paragraph was:  log₂ of(N) = <em>- </em>log(base 1/2) of (N) .
I think that's the big breakthrough here.
The rest is just turning the crank.

Now let's look at the problem:

log₂(x-1) + log(base 1/2) (x-2) = log₂(x)

Subtract  log₂(x)  from each side: 

log₂(x-1) - log₂(x) + log(base 1/2) (x-2) = 0

Subtract  log(base 1/2) (x-2)  from each side:

log₂(x-1) - log₂(x)  =  - log(base 1/2) (x-2)  Notice the negative on the right.

The left side is the same as  log₂[ (x-1)/x  ]

==> The right side is the same as  +log₂(x-2)

Now you have:  log₂[ (x-1)/x  ]  =  +log₂(x-2)

And that ugly [ log to the base of 1/2 ] is gone.

Take the antilog of each side:

(x-1)/x = x-2

Multiply each side by 'x' :  x - 1 = x² - 2x

Subtract (x-1) from each side:

x² - 2x - (x-1) = 0

x² - 3x + 1 = 0

Using the quadratic equation, the solutions to that are
x = 2.618
and
x = 0.382 .

I think you have to say that <em>x=2.618</em> is the solution to the original
log problem, and 0.382 has to be discarded, because there's an
(x-2) in the original problem, and (0.382 - 2) is negative, and
there's no such thing as the log of a negative number.


There,now.  Doesn't that feel better. 
 






You might be interested in
Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the sq
Ksju [112]
Let
x-----------> first <span>odd integer
x+2--------> second consecutive odd integer
x+4-------> third consecutive odd integer

we know that
(x+4)</span>²=15+x²+(x+2)²-------> x²+8x+16=15+x²+x²+4x+4
x²+8x+16=19+2x²+4x-------> x²-4x+3
x²-4x+3=0

using a graph tool----------> to calculate the quadratic equation
see the attached figure
the solution is
x=1
x=3

the answer is
the first odd integer x is 1
the  second consecutive odd integer x+2 is 3
the third consecutive odd integer x+4 is 5

7 0
3 years ago
Is 12 c greater than less than or equal to 3 qt
zysi [14]
4 cups in a at
12 cups = 3qt
3qt =12 cups
So they are equal
8 0
2 years ago
Read 2 more answers
You are taking a​ multiple-choice test that has questions. Each of the questions has answer​ choices, with one correct answer pe
Vlada [557]

Answer:

Step-by-step explanation:

um you can answer them in many ways?

6 0
2 years ago
Write the equation in slope-intercept form: 5x - 2y = 12
zhuklara [117]

Answer:

Step-by-step explanation:

Solving

5x + -2y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2y' to each side of the equation.

5x + -2y + 2y = 12 + 2y

Combine like terms: -2y + 2y = 0

5x + 0 = 12 + 2y

5x = 12 + 2y

Divide each side by '5'.

x = 2.4 + 0.4y

Simplifying

x = 2.4 + 0.4y

5 0
2 years ago
Oscar ran the 100-yard dash in 12.58 seconds. Jesiah ran the 100-yard dash in 11.59 seconds.
levacccp [35]

Answer:

0.99

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Eight people audition for a choir. The choir director must choose one soprano, one altar and one soprano. In how many ways can t
    11·2 answers
  • #21 is already done but 22 is so confusing <br> Help please!
    10·1 answer
  • Please help, thank you.
    13·2 answers
  • Which quadrilaterals are classified as types of parallelograms
    8·1 answer
  • please help! Frank has two same size rectangles divided into the same number of equal parts. One rectangle has 3/4 of the parts
    8·1 answer
  • Rewrite the quadratic function in vertex form.<br> Y=2x^2+4x-1
    15·1 answer
  • PLEASE LOOK AT THE IMAGE. I’m despite. It’s probably easy.
    13·1 answer
  • If a+b=9 and ab=18,find the value of a and b.
    15·1 answer
  • Michelle has 18.9 yards of string. She cuts the string into 5 pieces of equal length.
    11·2 answers
  • WILL GIVE BRAINLST <br> HAVE AN AMAZING DAY :)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!