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Math Help - Help with logarithms, please?

  1. #1
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    Help with logarithms, please?

    I'm terrible at logarithms ^^;;

    I'd really like some help learning how to solve these kinds of equations:
    8^x=4
    9^x=27

    I also dont get how to write logarithmic expressions as single logarithms when a problem like: log (x-1)^2-log (3x/4)^2. I dont understand what to do with the square...

    I have the same problem with expanding equations with squares in them like: log base of 2 (x + 1)^2
    log base of 4 r^2 t

    Help would be much appreciated :]
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by raspberry heaven View Post
    I'm terrible at logarithms ^^;;

    I'd really like some help learning how to solve these kinds of equations:
    8^x=4
    9^x=27
    you do not need logarithms for these. jsut express both sides in terms of the same base
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by raspberry heaven View Post
    I also dont get how to write logarithmic expressions as single logarithms when a problem like: log (x-1)^2-log (3x/4)^2. I dont understand what to do with the square...
    you should look up the laws of logarithms. \log_a x - \log_a y = \log_a \frac xy. x and y can be functions here. doesn't matter if they are squared or not.

    I have the same problem with expanding equations with squares in them like: log base of 2 (x + 1)^2
    another rule of logarithms is. \log_a (x^n) = n \log_a x so, \log_2 (x + 1)^2 = 2 \log_2 |x + 1| etc. i put absolute values because the square would keep thing positive always
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