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Math Help - Exponential and Logarithmic Functions

  1. #1
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    Exponential and Logarithmic Functions

    Hi,

    Can someone help me to solve this equation for X??

    3 Log x - 3 = 2 Log x2(square)
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  2. #2
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    Quote Originally Posted by Aniff View Post
    Hi,

    Can someone help me to solve this equation for X??

    3 Log x - 3 = 2 Log x2(square)
    1. Do you mean:

    3\log(x-3)=2\log(x^2)
    or
    3\log(x)-3=2\log(x^2)

    2. I'll take the 2nd equation:

    3\log(x)-3=2\log(x^2)~\implies~3\log(x)-3=4\log(x)

    -3=\log(x)

    3. Use the sides of the equation as exponents to the base of the logarithms:

    If the base is e you'll get x = e^{-3}\approx 0.0498

    if the base is 10 you'll get x = 10^{-3}=0.001
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