A community for students.
Here's the question you clicked on:
 0 viewing
ramul
 2 years ago
how to find x in 4^x+4^(1/x)=8
ramul
 2 years ago
how to find x in 4^x+4^(1/x)=8

This Question is Closed

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.3is the 2nd term definitely \(4^{\frac{1}{x}}\) and not \(4^{x}\)?

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.3have you been asked to use any specific methods? e.g. solve algebraically or numerically?

ramul
 2 years ago
Best ResponseYou've already chosen the best response.0you can solve algebraically

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.3I can see one answer just by observation. See if you can also spot it if you rearrange your equation as:\[4^x+4^{\frac{1}{x}}=4+4\]

ramul
 2 years ago
Best ResponseYou've already chosen the best response.0then what will be the next step?

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.3observe the equation carefully  the answer should just "jump out" :)

ramul
 2 years ago
Best ResponseYou've already chosen the best response.0on which basis rearrangement is done? can it be done to solve the equation?

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.3try and equate the \(4^x\) with the first 4 on the righthandside. Similarly try and equate the \(4^{1/x}\) with the second 4 on the right hand side. What value of x satisfies both?

ramul
 2 years ago
Best ResponseYou've already chosen the best response.0actually is this legal process? is any other method is there?

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.3:) I'm not sure if it is a "legal" mathematical proof or not, but that is the method I used. Maybe others can come up with alternatives?

ramul
 2 years ago
Best ResponseYou've already chosen the best response.0can you ask this to any of your teacher (maths)?

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.3I am not in school  I do maths as a hobby so I have no teacher as such :)

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.3I left school many many years ago

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.3I studied Aeronautical Engineering when I was at University. I now work as a software engineer

ramul
 2 years ago
Best ResponseYou've already chosen the best response.0i want to ask next question how to prove null set is subset of every set ?

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.3< you should ask each question separately in the list to the left. you can do this by first closing this question.

ramul
 2 years ago
Best ResponseYou've already chosen the best response.0done now can you help me?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.