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Mathematics 19 Online
OpenStudy (anonymous):

what is 2^log27?

OpenStudy (anonymous):

|dw:1322339562273:dw|

OpenStudy (anonymous):

if that's log base 2, then the log cancels the 2^ and the answer is 7

OpenStudy (anonymous):

if this is \[2^{\log(27)}\]it is a calculator exercise

OpenStudy (anonymous):

if it is \[2^{\log_2(7)}\] then the answer is 7

OpenStudy (anonymous):

Use this formula \[n^{\log_nm}=m\]

OpenStudy (anonymous):

but i would hardly call composing a function with its inverse "canceling"

OpenStudy (anonymous):

whta is log2(32)?

OpenStudy (anonymous):

\[\log_b(b^x)=x\] \[b^{\log_b(x)}=x\]because \[f(f^{-1}(x))=x\]

OpenStudy (anonymous):

\[\log_{2}32\]

OpenStudy (anonymous):

rewrite 32 as 2^5, and the answer is 5

OpenStudy (anonymous):

\[log_nn^m=m\]

OpenStudy (anonymous):

if log10(3) approx. .4771,evaluate log10(.0003)

OpenStudy (anonymous):

.0003 = 3*10^-4 log10 (3*10^-4)=log10(3) + log10(10^-4) = .4771 + -4 = -3.5229

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