Algebra

Let x = log_2 1/8

Write the exponential form of the equation and solve the equation for x.

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asked by Pamela
  1. Here are a few hints:
    a.a.a = a³
    (1/a).(1/a).(1/a) = a-3
    loga ab = b
    For example:
    log10100 = log1010² = 2

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    posted by MathMate
  2. 2x = 2^log2(1/8)

    2x = (1/8)

    Are these acceptable answers?

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    posted by Pamela
  3. You're getting there, but not exactly yet.
    Try writing
    1/8
    = 1/2³
    = 2-3
    and apply one of the above identities given in the hint.

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    posted by MathMate
  4. Does this work? Thanks!

    Exponential form is 2^-3=1/8

    To Check:
    2^-3=1/2^3=1/8

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    posted by Pamela
  5. So far so good, but you have to continue to solve for x, such as:
    x = log22-3
    How does that compare with the identity above:
    loga ab = b

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    posted by MathMate
  6. Exponential form is 2^-3 = 1/8 This isn't correct?
    This part is correct, that's the "so far so good" part. Sorry if there was a misunderstanding.

    You also need to do the second part: " and solve the equation for x."

    You are very close to finishing, keep it up.

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    posted by MathMate

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