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NotSoSmart  Dec 21, 2017
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8^(2x)  =  4096

 

Note that   8  = 2^3       and  4096  =  2^12

 

So

 

(2^3)^(2x)   =  2^12

 

2^(6x)  =  2^12         solve for the exponents

 

6x  = 12       divide both sides by 6

 

x  = 2

 

 

We can use synthetic division here to find the remaining polynomial

 

 

3 [ 2    -9      11      - 6  ]

            6       -9        6

   __________________

    2     -3       2        0

 

So.....the remaining polynomial  is    2x^2  - 3x   +  2

 

 

 

 

cool cool cool

CPhill  Dec 21, 2017

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