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Math Help - Logarithmic Relationships

  1. #1
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    Logarithmic Relationships

    How would i solve this?

    Log3^9-log3^27+log3^243
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  2. #2
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    Re: Logarithmic Relationships

    Quote Originally Posted by strdatmage View Post
    How would i solve this?
    Log3^9-log3^27+log3^243
    There is nothing there to solve.
    If you want to add those up then:
    9L+27L+243L=~? where L=\log(3)
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    Re: Logarithmic Relationships

    Quote Originally Posted by Plato View Post
    There is nothing there to solve.
    If you want to add those up then:
    9L+27L+243L=~? where L=\log(3)
    It says : Write each expression as a single logarithm. B. Find the value of each expression
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    Re: Logarithmic Relationships

    Quote Originally Posted by strdatmage View Post
    It says : Write each expression as a single logarithm. B. Find the value of each expression
    That is exactly what I posted.
    Now you do some work for yourself.
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  5. #5
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    Re: Logarithmic Relationships

    Okay, so just Do that and replace L With 3?
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    Re: Logarithmic Relationships

    Quote Originally Posted by strdatmage View Post
    It says : Write each expression as a single logarithm. B. Find the value of each expression
    As Plato demonstrated, you can use this property of logarithms:

    \log_bx^a=a\log_bx,\quad x>0, b>0, b\ne1.

    Then combine like terms. You should familiarize yourself with basic logarithmic identities. Consult your textbook for information.
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  7. #7
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    Re: Logarithmic Relationships

    Quote Originally Posted by strdatmage View Post
    How would i solve this?

    Log3^9-log3^27+log3^243
    I'm a little bit confused about the writing of this sum ...

    Could it be that the original term was:

    \log_3(9) - \log_3(27) + \log_3(243)

    If so the final result is 4.
    Thanks from skeeter
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    Re: Logarithmic Relationships

    Quote Originally Posted by strdatmage View Post
    It says : Write each expression as a single logarithm. B. Find the value of each expression
    9L + 27L + 243L = 279L; where L = log(3)

    279log(3) is the single logarithm
    Use your calculator to find the value the appropriate base as it wasn't detailed here (assuming base e or base 10)
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