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Mathematics 8 Online
OpenStudy (anonymous):

im not sure that my answer is correct, please review!

OpenStudy (anonymous):

OpenStudy (experimentx):

i think -6

OpenStudy (experimentx):

1/64 = 2^-6

OpenStudy (anonymous):

The answer should be -6

OpenStudy (anonymous):

not quite.. log works like this: \[\text{if } 2^5 = 32\text{ , then }\log_2(32) = 5\]

OpenStudy (anonymous):

why is it negative and not positive 6?

OpenStudy (anonymous):

so: \[2^{-6} =\frac{1}{64} \text{ so } \log_2{(\frac{1}{64})} = -6\]

OpenStudy (anonymous):

remember: \[x^{-a} = \frac{1}{x^a}\]

OpenStudy (anonymous):

why cant i just put a positive 6? its confusing me

OpenStudy (anonymous):

It wouldn't be a fraction

OpenStudy (anonymous):

\[2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2\]\[2^{-6} = \frac{1}{2^6}\]

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