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Math Help - Logarithm as inverse

  1. #1
    Newbie north1224's Avatar
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    Exclamation Logarithm as inverse

    Write the inverse of each function.

    Please show work and short explanation so I understand how to get the answers for the rest of my homework

    1) Y=2^{x/3}

    2) Y=log_{5} X^2


    Also If I Need to solve for Y in the following what is the answer for the following (please show work):

    f(x)=log_4(x+4)-3
    X= -2
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  2. #2
    Member
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    Quote Originally Posted by north1224 View Post
    Also If I Need to solve for Y in the following what is the answer for the following (please show work):

    f(x)=log_4(x+4)-3
    X= -2

    well lets say you have log_{base} number. This is equivalent to log_{x} number / log_{x} base with x being whatever you want.....10 for calculating purposes

    so

    f(x)=log_4(x+4)-3
     x =2

    f(x)=log_4(2+4)-3
    f(x)=log_4(6) -3
    f(x)=(log_{10}(6) / log_{10}(4) ) -3
    f(x)=~1.2925 - 3 = -1.7075
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