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Math Help - Solve for x

  1. #1
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    Solve for x

    Solve for x: logbx = (3/2)logb4-(2/3)logb8+2logb2
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by dc52789 View Post
    Solve for x: logbx = (3/2)logb4-(2/3)logb8+2logb2
    Apply various rules of logarithms to get all the terms on the right side of the equation in one logarithm.

    \log_bx=\log_b(8)-\log_b(4)+\log_b(4)\implies\log_bx=\log_b(?)

    I leave it for you to fill in the ?.

    Then x = ?.

    Can you take it from here?

    --Chris


    w00t!! my 12th post!!!
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  3. #3
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    Quote Originally Posted by Chris L T521 View Post
    Apply various rules of logarithms to get all the terms on the right side of the equation in one logarithm.

    \log_bx=\log_b(8)-\log_b(4)+\log_b(4)\implies\log_bx=\log_b(?)

    I leave it for you to fill in the ?.

    Then x = ?.

    Can you take it from here?

    --Chris


    w00t!! my 12th post!!!
    so...is the answer x = 8?
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  4. #4
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    yes, x = 8
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  5. #5
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    Quote Originally Posted by Shyam View Post
    yes, x = 8
    sweet ^^
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