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Math Help - Equation solving

  1. #1
    Member sbhatnagar's Avatar
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    Equation solving

    Well I just need help solving this equation: 5^{\frac{x}{2}}-2^x=1
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  2. #2
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    Re: Equation solving

    Quote Originally Posted by sbhatnagar View Post
    Well I just need help solving this equation: 5^{\frac{x}{2}}-2^x=1
    1. By first inspection x = 2

    2. Since 5^{\tfrac x2} and 2^x are both increasing continuously this solution must be the only one.
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  3. #3
    Member sbhatnagar's Avatar
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    Re: Equation solving

    I know that x = 2 but can you show me the steps also?
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  4. #4
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    Re: Equation solving

    Quote Originally Posted by sbhatnagar View Post
    I know that x = 2 but can you show me the steps also?
    You were told that this was just from inspection...
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  5. #5
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    Re: Equation solving

    Quote Originally Posted by sbhatnagar View Post
    I know that x = 2 but can you show me the steps also?
    The 'steps' are: 5^{2/2}- 2^2= 5- 4= 1.
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