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-   -   Solving exponents with different bases (https://www.askmehelpdesk.com/showthread.php?t=407294)

  • Oct 18, 2009, 10:48 AM
    KGB_Maths
    Solving exponents with different bases
    How do I solve the equation:

    4^Y=8

    in a step by step way?
    TIA.
  • Oct 18, 2009, 10:55 AM
    Unknown008

    Ok;



    Insert log on both sides:



    You could have used 'ln' also, but let's do it with log.
    Now, you know that you can 'put the index as multiplication' in front of the log like that:



    Then, divide both sides by log 4:





    Now, you can enter this in your calculator, or if you want to simplify further,





  • Oct 18, 2009, 11:25 AM
    KGB_Maths
    Thank you so much!
  • Oct 19, 2009, 09:29 AM
    Unknown008

    You're welcome! :)

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