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what is 2^log27?
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|dw:1322339562273:dw|
if that's log base 2, then the log cancels the 2^ and the answer is 7
if this is \[2^{\log(27)}\]it is a calculator exercise
if it is \[2^{\log_2(7)}\] then the answer is 7
Use this formula \[n^{\log_nm}=m\]
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but i would hardly call composing a function with its inverse "canceling"
whta is log2(32)?
\[\log_b(b^x)=x\] \[b^{\log_b(x)}=x\]because \[f(f^{-1}(x))=x\]
\[\log_{2}32\]
rewrite 32 as 2^5, and the answer is 5
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\[log_nn^m=m\]
if log10(3) approx. .4771,evaluate log10(.0003)
.0003 = 3*10^-4 log10 (3*10^-4)=log10(3) + log10(10^-4) = .4771 + -4 = -3.5229
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