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Math Help - logarithmic

  1. #1
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    logarithmic

    find the domain of logarithmic fuction
    f(x) = ln (x-2) 2nd power
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  2. #2
    Super Member malaygoel's Avatar
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    Quote Originally Posted by scrappy View Post
    find the domain of logarithmic fuction
    f(x) = ln (x-2) 2nd power
    If you want to find the domain, you want to find the values of for which f(x) is defined.

    Now, it is not clear whether ln (x-2) has 2nd power or (x-2) has 2nd power
    In the first case, f(x) will not be defined for x less than and equal to 2
    in the second case, f(x) will not be defined for x=2.


    logx is defined if
    x is greater than 0

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  3. #3
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    Quote Originally Posted by scrappy View Post
    find the domain of logarithmic fuction
    f(x) = ln (x-2) 2nd power
    I think he means,
    f(x)=\ln (x-2)^2
    Then, since (x-2)^2\geq 0
    It is undefined for x=2
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