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Math Help - Compass Placement Test

  1. #1
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    Thumbs down Compass Placement Test

    Hey guys,
    I'm taking the math placement test and needed some help.
    There was one problem that did not make any sense to me

    (a^x2)(1/a^8x) Find X. Is this possible with two variables? I might have forgotten a part of the problem. Even if (a^x2)(1/a^8x)= 4 for example, i still wouldnt know how to solve it.

    Thanks for all the help,

    Adam
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by usrnme14 View Post
    Hey guys,
    I'm taking the math placement test and needed some help.
    There was one problem that did not make any sense to me

    (a^x2)(1/a^8x) Find X. Is this possible with two variables? I might have forgotten a part of the problem. Even if (a^x2)(1/a^8x)= 4 for example, i still wouldnt know how to solve it.

    Thanks for all the help,

    Adam
    you should post the full problem.

    if for instance a > 0. then you can solve for x in terms of a by using the logarithm (to the base a), and then the quadratic formula.

    a^{x^2} \cdot \frac 1{a^{8x}} = 4

    \Rightarrow a^{x^2 - 8x} = 4 ..................since \frac {x^a}{x^b} = x^{a - b}

    \Rightarrow x^2 - 8x = \log_a 4 ...............since \log_a b = c \Longleftrightarrow a^c = b

    \Rightarrow x^2 - 8x - \log_a 4 = 0

    now apply the quadratic formula ( \log_a 4 = 0 is a constant)
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