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Math Help - Logarithm question....need help

  1. #1
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    kanaida
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    Logarithm question....need help

    Write as a sing logarithm...x>0
    i simplified it by moving the exponents to the side and i got to this
    i dont know what to do from here......plz help
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  2. #2
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    Re: Logarithm question....need help

    Quote Originally Posted by koolaid123 View Post
    Write as a sing logarithm...x>0
    i simplified it by moving the exponents to the side and i got to this
    i dont know what to do from here......plz help
    You have one mistake.
    It is -4 not +4\log_a.

    It is not clear what more you what to be done?
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  3. #3
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    Re: Logarithm question....need help

    its still positive 4....i forgot to put brackets before the 3 and and the end....those two are multiplied by each other.....i have to write this as a single logarithm
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    Re: Logarithm question....need help

    Quote Originally Posted by koolaid123 View Post
    its still positive 4....i forgot to put brackets before the 3 and and the end....those two are multiplied by each other.....i have to write this as a single logarithm
    You are wrong.
    \log _a \left( {\frac{{\sqrt {x^2  + 1} }}{{x^3 \left( {x + 1} \right)^4 }}} \right) = \frac{1}{2}\log _a \left( {x^2  + 1} \right) - 3\log _a (x) - 4\log_a \left( {x + 1} \right)
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