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Mathematics 17 Online
OpenStudy (anonymous):

FInd the exact value of the logarithmic expression: log2...1

OpenStudy (anonymous):

\[\log_{2}1 \]

OpenStudy (anonymous):

again switch to exponential form

OpenStudy (anonymous):

\[\log_2(1)=y\] \[2^y=1\]

OpenStudy (anonymous):

got it that far

OpenStudy (anonymous):

this should convince you not only that \[y=0\] but also that \[\log_b(1)=0\] no matter what b is

OpenStudy (anonymous):

right? because \[b^0=1\] always

OpenStudy (anonymous):

how do you get that y=0 little confused

OpenStudy (anonymous):

no how do you go from 2y=1 to y=0

OpenStudy (anonymous):

i see the rest of it

OpenStudy (anonymous):

Anything power 0 is 1.

OpenStudy (anonymous):

http://www.wolframalpha.com/input/?i=2^y+%3D+1

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