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Math Help - logarithmic equation

  1. #1
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    Exclamation logarithmic equation

    Solve the logarithmic equation


    Log(sub 9)x = 3/2

    I have the equation as far as

    Log 9*3/2 = x

    but I am unsure if this is correct or not. Please help? Thanks!
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  2. #2
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    Quote Originally Posted by Deathscyth3 View Post
    Solve the logarithmic equation


    Log(sub 9)x = 3/2

    I have the equation as far as

    Log 9*3/2 = x

    but I am unsure if this is correct or not. Please help? Thanks!
    \log_a b \Longleftrightarrow \frac {log_c b}{log_c a}

    \log_9 x = \frac {3}{2}

    \log_9 x = \frac {logx}{log9}

    \frac {logx}{log9} = \frac {3}{2}

    Solve for x. Please note that logarithms should be part of the Algebrea/Pre-Algebra category, and not pre-calculus.
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  3. #3
    Behold, the power of SARDINES!
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    Quote Originally Posted by Deathscyth3 View Post
    Solve the logarithmic equation


    Log(sub 9)x = 3/2

    I have the equation as far as

    Log 9*3/2 = x

    but I am unsure if this is correct or not. Please help? Thanks!
    Remember that

    log_a(b)=c \iff a^c=b

    log_9(x)=\frac{3}{2} \iff 9^{\frac{3}{2}}=x \iff 27=x
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  4. #4
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    Sorry about that, thanks for the help.
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