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Math Help - Logarithmic Equations

  1. #1
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    Logarithmic Equations

    Can you please help me solve these logarithmic equations. Thanks.
    The first one is a lead up to the second one (in terms of what to do).

    Solve for x



    N.B The two logarithms are separate equations, not a huge fraction.

    Thanks - I'm not sure what to do but apparently it has something to do with the common logarithm (just a chapter name). Anyway, thanks for any help.
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  2. #2
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    Quote Originally Posted by BG5965 View Post
    Can you please help me solve these logarithmic equations. Thanks.
    The first one is a lead up to the second one (in terms of what to do).

    Solve for x



    N.B The two logarithms are separate equations, not a huge fraction.

    Thanks - I'm not sure what to do but apparently it has something to do with the common logarithm (just a chapter name). Anyway, thanks for any help.
    Both questions require you to be familiar with the rule \log_A B = C \Rightarrow A^C = B.

    1. 8^{2/3} = x - 5 \Rightarrow (2^3)^{2/3} = x - 5 \, ....

    2. \log_7 [(5 - 2x)(2 + x)] = 1 \Rightarrow (5 - 2x)(2 + x) = 7^1 \, ....
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