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Math Help - Logarithm question

  1. #1
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    Logarithm question

    Hello, Need some direction in solving this prob: Solve the following equation for : x 7^x+10=15^10x Write your answer as an expression involving base-10 logarithms Trying to work the rust off of my math skills....Logarithms were never my strong suit. Thanks for any help you might give, ~CC
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  2. #2
    o_O
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    \begin{array}{rcl}{\color{blue}\log (}7^{x+10}{\color{blue})} & = & {\color{blue}\log (}15^{10x}{\color{blue})} \\ (x+10) \cdot \log 7 & = & 10x \cdot \log 15 \quad (\text{Property of logs: } \log a^b = b\log a) \\ (\log 7)x + 10\log 7 & = & (10\log15)x \\ & \vdots & \end{array}

    Should be simple algebra from here.
    Last edited by o_O; August 30th 2008 at 12:28 PM.
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