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Thread: Logarithm Help!

  1. #1
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    Post Logarithm Help!

    I was wondering if you could help with the following logarithm questions:

    a) Rewrite 7^2 = 49 in the equivalent Log form.

    Answer:
    log7 49 = 2


    b) Solve : x + 1 = Log6 216

    c) Evaluate : 5 Log3 9 - Log3 81 + Log3 1

    b) If Loga y = 3Loga x+2, find the equation for y in terms of a and x.

    Any Contribution will be appreciated!

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  2. #2
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    b)
    $\displaystyle x + 1 = log_6{216}$

    $\displaystyle x = log_6{216} - 1$

    $\displaystyle x = 2$
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  3. #3
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    c)

    $\displaystyle 5log_3{9} - log_3{81} + log_3{1} = 5 * 2 - 4 + 0 = 6$
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  4. #4
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    d)

    $\displaystyle log_a{y} = 3log_a{(x+2)}$

    $\displaystyle log_a{y} = log_a{(x+2)^3}$

    $\displaystyle y = (x + 2)^3$
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