SOLUTION: Q:1- (a) Solve (4)^x = x¹¹. (b) Solve (6)^x = x¹². [Here ^ means power]. Q:2- Construct three examples of inner product space which are not Banach space. Q:3- Use Mat

Algebra ->  Test -> SOLUTION: Q:1- (a) Solve (4)^x = x¹¹. (b) Solve (6)^x = x¹². [Here ^ means power]. Q:2- Construct three examples of inner product space which are not Banach space. Q:3- Use Mat      Log On


   



Question 1207194: Q:1- (a) Solve (4)^x = x¹¹. (b) Solve (6)^x = x¹².
[Here ^ means power].
Q:2- Construct three examples of inner product space which are not Banach space.
Q:3- Use Mathematical induction to prove that n n² when n >= 4.
[Here >= means equal or more than]

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

This my post relates to question 1, only.


I used an online solver at the link

https://mathcracker.com/exponential-equation-calculator#results


When I printed this equation there,  4%5Ex = x%5E11,  the solver said me in response


     +-----------------------------------------------------------------------+
     |    No Exact Solution Found.                                           |
     |    In this case, no solutions can be found with elementary methods,   |
     |    but the equation has some solutions that can be found numerically: |
     |    𝑥 = 1.156976.                                                      |
     +-----------------------------------------------------------------------+

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Your questions are very different each one from the others and relate to different sections of Math.

I do not recommend you to pack different questions/problems in one post.

Doing this way, you work against your own interests.


Separate your problems and post them separately, one problem per post.


About the rules of this forum, see web-page

https://www.algebra.com/tutors/students/ask.mpl?action=ask_question&topic=Equations&return_url=http://www.algebra.com/algebra/homework/equations/

from which you post your problems.


Find there this instruction to post one problem per post.