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Math Help - [SOLVED] lost on logs?

  1. #1
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    [SOLVED] lost on logs?

    okay i have a bunch of problems, & i know I should know this but I can't remember what to do. I am very lost, so please help


    If and , evaluate the following in terms of x and y:


    (a)
    (b)
    (c) (d)


    (c) is my major concern if only wanting to focus on one. but helping on all of them would be so helpful
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  2. #2
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    Try making a prime factorization for the first two, and see if that helps any.
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  3. #3
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    Quote Originally Posted by lsnyder View Post
    okay i have a bunch of problems, & i know I should know this but I can't remember what to do. I am very lost, so please help


    If and , evaluate the following in terms of x and y:
    The properties of logs might be useful here, that 216 seems to be a familiar number.. let's factor him and see what he really is.

    216 = 2 * 108 = 2 * 2 * 54 = 2 * 2 * 2 * 27 = 2*2*2*3*9 = 2*2*2*3*3*3

    So, I can rewrite my equation as Logb of 2*2*2*3*3*3. Use the property of logs to write this as:

    logb 2 + logb 2 + logb 2 + logb 3 + logb 3 + logb 3

    These can then be replaced by the equations you gave at the top as:

    x + x + x + y + y + y

    And finally simplified to

    3x + 3y

    And if your teacher has gone insane from teaching logs and demands all things be factored:

    3(x + y)
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  4. #4
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    here are the 4 answers incase anyone cares



    (a) 3x+3y
    (b) 4x+3y
    (c) 3x-2y (d) 2y/3x
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