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
sineoko [7]
2 years ago
6

Find 2^x=4x, find x ​

Mathematics
1 answer:
Sav [38]2 years ago
7 0

Whatever... I'll try to solve the first two problems.

2^x=4x\\4x=e^{\ln 2^x}\\4x=e^{x\ln 2}\\\dfrac{1}{4x}=e^{-x \ln 2}\\-\dfrac{\ln 2}{4}=-x\ln 2e^{-x \ln 2}\\-x\ln 2=W\left(-\dfrac{\ln 2}{4}\right)\\x=-\dfrac{W\left(-\dfrac{\ln 2}{4}\right)}{\ln 2}

1.

x=\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5\ldots}}}}}}\qquad\left( x\geq0\right)\\\\x=\sqrt{13+\sqrt{5+x}}\\\\x^2=13+\sqrt{5+x}\\\sqrt{5+x}=x^2-13\\\\D:5+x\geq0 \wedge x^2-13\geq 0\wedge x\geq 0\\D:x\geq-5 \wedge x^2\geq13\wedge x\geq 0\\D:x\geq \sqrt{13} \vee x\leq-\sqrt{13}\wedge x\geq0 \\D:x\in[\sqrt{13},\infty)\\\\ 5+x=x^4-26x^2+169\\x^4-26x^2-x+164=0\\\vdots\\(x - 4) (x^3 + 4 x^2 - 10 x - 41) = 0\\x-4=0\\x=4

One solution is x=4, and 4\in D, therefore\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5\ldots}}}}}}=4.

We can ignore other possible solutions of the polynomial equation, because the expression can not be equal to two different values simultaneously.

You might be interested in
The box plots below show the lifespan, in months, of laptop batteries manufactured by four companies: box plot labeled Company A
denis-greek [22]
I think the answer would be D. Hope this helps!
7 0
3 years ago
Apply the dristrbutie property to factor out the greatest common factor of 22c+33d
Mademuasel [1]
Answer:

11 (2c + 3d)

Step-by-step explanation:

Find the GCF (Greatest Common Factor)

Answer: 11

And then use 11 to factor out 22c + 33d
8 0
3 years ago
Read 2 more answers
Suppose the leftmost digits of two numbers are 8 and 3. Can you tell which numbers is greater. Explain
Svetach [21]
No:
At first, it might appear that the number with a leftmost digit of 8 should be bigger than one with a left most digit of 3 because so long as the 3 and 8 have the same digit position, this will be the case;
The same applies if the 3 is at a lower digit position than the 8;
But, there is nothing in the statement to suggest that the 8 has the higher digit position, i.e. the numbers could be 3000 and 800;
In this case, the largest number has the leftmost digit of 3;
Therefore, you cannot tell which number will be bigger without any other information.
5 0
3 years ago
180 counter clockwise rotation?
xeze [42]

Answer:

It means turning 180 degrees to the left

Step-by-step explanation:

3 0
3 years ago
The endpoints of CD are C(6, 1) and <br> D(-4, -1). Find the midpoint M of CD.
Ksju [112]

Answer:

(1, 0)

Step-by-step explanation:

I can't really explain it on here with it making sense but just plug in the numbers into the formula and it should be easy from there

6 0
3 years ago
Read 2 more answers
Other questions:
  • I need help plz!!!!!!
    7·1 answer
  • If cos2A=11/25, show that cosA=6/5√2​
    10·1 answer
  • If a 5 ft tall man cast an 8 ft long shadow at the same time a tree cast a 24 ft long shadow, how tall is the tree?
    15·2 answers
  • PLZ HELP ME WITH MEH 7th GRADE MATH
    10·1 answer
  • What type of graph consist of a number of points that may or may not be associated with each other? A) Line Graph B) Circle Grap
    11·1 answer
  • Im giving away 100 points and brainliest no questions to be answered just free ;)
    7·2 answers
  • Write the sentence as an equation.<br><br> 260 is equal to d plus 236 ?​
    8·1 answer
  • 0.5+0.3-(-0.5--0.3) I AM SOOOO SRRY GUYS
    12·1 answer
  • Which table has greater constant of proportionality?
    7·1 answer
  • 2 - 14. What is the equation of the line perpendicular to y - 4 = (x - 6) and passes through the point - (-3,2)? 5 5 - 2 5 = O -
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!