SOLUTION: Solve x= log2(1/8) by rewriting in exponential form

Question 1195515: Solve x= log2(1/8) by rewriting in exponential form
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve by rewriting in exponential form
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x = -3
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

(1) Read the given equation out loud: "x is the logarithm, base 2, of 1/8".

(2) Now say out loud 100 times (okay, maybe 3 or 4): "The logarithm is the exponent".

Now you know the base is 2 and the exponent is x; so the "1/8" has to be the answer:

Then solve by writing 1/8 as a power of 2:

The bases are the same, so the exponents are equal:

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