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Find all solutions to  ` ` `3x - 2^(x) -1 = 0`  

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yahhhh | Student, Undergraduate | (Level 1) Honors

Posted July 11, 2013 at 3:50 AM via web

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Find all solutions to 

` ` `3x - 2^(x) -1 = 0`

 

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aruv | High School Teacher | (Level 2) Valedictorian

Posted July 11, 2013 at 4:43 AM (Answer #1)

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Let us define a function

`f(x)=3x-2^x-1`

The zero of the function f(x) is the root of equation

`3x-2^x-1=0`

We can find the zero of the method either by graphical ethod or some numerical methods.We prefer graphical method here

`f(1)=3xx1-2^1-1=0`

`f(3)=3xx3-2^3-1=0`

Thus 1 and 3  are zeros of f(x). So 1 and 3 are  roots of the given  equation.

 

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