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Math Help - Solve For X In Terms Of Loga And Logb

  1. #1
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    Solve For X In Terms Of Loga And Logb

    SOLVE FOR X IN TERMS OF LOGA AND LOGB

    a^(x-3) = b^(2x)


    SO CONFUSED SOMEONE HELP ME!!!
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  2. #2
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    Quote Originally Posted by clp_53 View Post
    SOLVE FOR X IN TERMS OF LOGA AND LOGB

    a^(x-3) = b^(2x)


    SO CONFUSED SOMEONE HELP ME!!!
    a^{x-3}=b^{2x}

    Take the log of both sides...

    \log(a^{x-3})=\log(b^{2x})

    The exponents get knocked down outside of the log as coefficients...

    \log(a)(x-3)=\log(b)(2x)

    You can surely solve the rest with a calculator for the logs and algebra for the variable solution!
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