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

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Question 1195515: Solve x= log2(1/8) by rewriting in exponential form
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve x=+log%282%2C%281%2F8%29%29 by rewriting in exponential form
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2%5Ex+=+1%2F8
x = -3

Answer by greenestamps(13200) About Me  (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:

2%5Ex+=+1%2F8

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

2%5Ex+=+2%5E%28-3%29

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

x+=+-3