# Algebra

Let x = log_2 1/8

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

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3. 👁 64
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)

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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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