Juuk J.

asked • 08/12/17

how do you solve this? x^(2x+1) = 1/8

i know that the answer is 1/4 but i dont know how they solved it

1 Expert Answer

By:

Mark M. answered • 08/12/17

Tutor
5.0 (278)

Mathematics Teacher - NCLB Highly Qualified

Michael J.

I don't believe this is a typo because I put this in desmos, and it showed 1/4 as the solution.
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08/12/17

Arturo O.

Indeed, substitute x = 1/4 into the given equation, and you get 0.125 = 1/8.
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08/12/17

Arturo O.

Juuk,
 
A typical approach would be to take the logarithm on both sides.
 
x2x+1 = 1/8
 
(2x + 1)log(x) = log(1/8)
 
But as you can see, the resulting equation is not something readily solvable by algebraic methods.  This type of equation may be solved numerically, as in Newtons method, or graphically, or even using graphing to obtain an initial guess to begin iterations in Newton's method.  Are you familiar with Newton's method?
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08/12/17

Juuk J.

no, sorry but i can just look it up on the Internet and see if i understand it,  thanks anyways
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08/12/17

Juuk J.

i dont get newton's method
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08/12/17

Mark M.

The on your problem is Trigonometry. This problem is not Trigonometry. Can you provide the topic of the section/chapter from which you got the problem?
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08/12/17

Juuk J.

i'm taking trigonometry so i assumed this was a trig problem. my teacher just gave it as an example and we have to solve it
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08/13/17

Mark M.

As an examples of what?
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08/13/17

Juuk J.

I'm not really sure she just wrote it on the board
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08/14/17

Mark M.

Perhaps you could inquire and relate the tutors' comments. Then ask, politely, for an explanation.
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08/14/17

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