SOLUTION: What is the exact value of log2 1/8 How do I arrive at the final solution?

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Question 86964: What is the exact value of log2 1/8
How do I arrive at the final solution?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
a logarithm is an exponent that some base is raised to to get some number

in this case 2%5Ex=1%2F8 where x is the logarithm

since 8=2^3 ... 2%5Ex=1%2F2%5E3 or (using rules for exponents) 2%5Ex=2%5E-3 ... so x=-3