Solving Equations

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  1. MrBlackwood's Avatar
    • Respected Member
    • Posts: 226
    Solving Equations
    The following has caught me out;

    2x = 512

    I have no idea where to start, but I think the use of logs is needed?

    Could someone point me in the right direction?

    Rep for useful response!
  2. Intriguing Alias's Avatar
    • TSR Idol
    • Location: Yorkshire
    Re: Solving Equations
    (Original post by MrBlackwood)
    The following has caught me out;

    2x = 512

    I have no idea where to start, but I think the use of logs is needed?

    Could someone point me in the right direction?

    Rep for useful response!
    Take log base 2 of both sides (or if your calculator doesn't support that - just take regular logs of both sides).

    This is one of the most basic logarithm questions - have you studied logs properly yet?
  3. MrBlackwood's Avatar
    • Respected Member
    • Posts: 226
    Re: Solving Equations
    (Original post by hassi94)
    Take log base 2 of both sides (or if your calculator doesn't support that - just take regular logs of both sides).

    This is one of the most basic logarithm questions - have you studied logs properly yet?
    Thank you!!

    And no, haha. We were taught the rules in 3 minutes and expected to be experts with no further teaching
  4. Josephdude's Avatar
    • New Member
    • Posts: 11
    Re: Solving Equations
    Or if you have a calculator...you can simply divide 512 by 2 for 9 times...

    hence you get 2^9 = 512...

    (but taking log I think is the better option)
  5. Sora's Avatar
    • Exalted Member
    • Location: Northampton
    • Posts: 251
    Re: Solving Equations
    Loga^x = xLoga

    Hopefully this is a nudge in the right direction :P
  6. Hasufel's Avatar
    • Exalted and Worshipped Member
    • Posts: 1,016
    Re: Solving Equations
    could also take natural logs...
  7. iCiaran's Avatar
    • Exalted and Worshipped Member
    • Location: Wirral
    • Posts: 1,236
    Re: Solving Equations
    (Original post by Hasufel)
    could also take natural logs...
    The base is irrelevant as long as it is the same on both sides, just happens that in this case base 2 is convenient for the 512...
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