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Logs Test

A test by Oren Lahav.

Test Questions
  1. Question
    \log_b x = 0. What's x in terms of b?
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  2. Question
    Express 5 ^{ - 2} =\frac{1}{25} in log form.
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  3. Question
    Find x if \log_x x=1
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  4. Question
    Find d if 3=\log_5 d
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  5. Question
    Solve for x if \log_3 (x+3) - \log_3 (x - 3)=1.
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  6. Question
    If \log_s a=198 and log_s b=11, what's log_b a?
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  7. Question
    Which of these is correct?
    1. \log_a xy = \log_a x + \log_a y.
    2. \log_a xy = \log_a x * log_a y .
    3. \log_a (x+y) = \log_a x + \log_a y
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  8. Question
    Find the solution to x=\log_3 6561.
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  9. Question
    Find \log_2 (32) + \log_3 (81).
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  10. Question
    Let \log_x 6 = D. Then what's \log_x 1296?
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