Asked Jan 22, 2020

a. If (ln x)/x = (ln 2)/2, must x = 2?

b. If (ln x)/x = -2 ln 2, must x = 1/2?

Give reasons for your answers.


Expert Answer

Step 1


  1. If (ln x)/x = (ln 2)/2, must x = 2? ……... (1)
  2. If (ln x)/x = -2 ln 2, must x = 1/2? …….. (2)
Step 2

Proof part (a):

Calculus homework question answer, step 2, image 1
Step 3

Again, for x = 4,...

Calculus homework question answer, step 3, image 1

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: The region in the first quadrant that is bounded above by the curve y = 1/sqrt(x), on the left by th...

A: Given,


Q: How do you simplify the expression cosx/1+sinx + 1+sin x/cosx and the expression tanx - sec2x/tanx

A: Given:[a]:


Q: A round underwater transmission cable consists of a core of copper wires surrounded by nonconducting...

A: Click to see the answer


Q: A 24-in.-by-36-in. sheet of cardboard is folded in half to form a 24-in.-by-18-in. rectangle as show...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...


Q: The viewing portion of the rectangular glass window in a typical fish tank at the New England Aquari...

A: Consider the given statement of the question,Since, the force on the window is proportional to the d...


Q: Sketch the area enclosed by the curves and find its area. y=cos2x y=0 x=pi/4 ×=pi/2

A: Given,


Q: How can you sometimes evaluate indefinite integrals by substitution? Give examples.

A: "Integration by Substitution" (also called "u-Substitution" or "The Reverse Chain Rule") is a method...


Q: Assume that a spring does not follow Hooke’s Law. Instead, the force required to stretch the spring ...

A: Click to see the answer


Q: find the volume  The solid lies between planes perpendicular to the x-axis at x = -1 and x = 1. The ...

A: First of all, consider the plot for x = -1, x = 1 and the equation of semicircles on x-y plane.