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ramul
 3 years ago
how to find x in 4^x+4^(1/x)=8
ramul
 3 years ago
how to find x in 4^x+4^(1/x)=8

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

asnaseer
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0you can solve algebraically

asnaseer
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0then what will be the next step?

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

ramul
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0actually is this legal process? is any other method is there?

asnaseer
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0can you ask this to any of your teacher (maths)?

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

asnaseer
 3 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
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0done now can you help me?
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