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(6^x)+1 = (2^x)+2

  1. Apr 6, 2012 #1
    (6^x)+1=(2^x)+2
    please find the value of x , thanks
     
  2. jcsd
  3. Apr 6, 2012 #2

    Char. Limit

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    Gold Member

    Re: (6^x)+1=(2^x)+2

    This should really be in the homework section, but what have you tried?
     
  4. Apr 6, 2012 #3

    chiro

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    Re: (6^x)+1=(2^x)+2

    Hello.

    Please show working. Thanks.
     
  5. Apr 6, 2012 #4
    Re: (6^x)+1=(2^x)+2

    this isn't homework
     
  6. Apr 6, 2012 #5
    Re: (6^x)+1=(2^x)+2

    about 0.5, comparing √6 to √2
     
  7. Apr 6, 2012 #6

    Mentallic

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    Homework Helper

    Re: (6^x)+1=(2^x)+2

    It doesn't matter, it's a homework style question. You can add why you need it solved etc, and then maybe we'll give a bit of leeway.
     
  8. Apr 6, 2012 #7
    Re: (6^x)+1=(2^x)+2

    my friend asked me this question and i solved for a whole day still can't can get the exact answer 0.48
     
  9. Apr 6, 2012 #8

    Mentallic

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    Re: (6^x)+1=(2^x)+2

    The problem is that 0.48 isn't the exact answer. It's only a numerical approximation.
    A better approximation is 0.4895363 but even this isn't exact. The exact answer is irrational and doesn't have a closed form solution in terms of surds and logs and whatnot.

    If you just wanted to find a numerical approximation however, there are quite a few tools you can use, such as the Newton-Raphson Method.
     
  10. Apr 6, 2012 #9
    Re: (6^x)+1=(2^x)+2

    thanks for your explanation ,it really helps me a lot
     
  11. Apr 6, 2012 #10
    Re: (6^x)+1=(2^x)+2

    Please report threads like this.
     
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