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Mathematics 22 Online
OpenStudy (anonymous):

Use the properties of logarithms to evaluate

OpenStudy (anonymous):

OpenStudy (unklerhaukus):

\[\large2\log_7\sqrt[3]7\]

OpenStudy (unklerhaukus):

use\[\sqrt[n]x=x^{1/n}\]

OpenStudy (unklerhaukus):

and\[\boxed{n\log_b x=\log_bx^n}\]\[\boxed{\log_b b=1}\]

OpenStudy (anonymous):

is the answer going to be a whole number or a fraction?

OpenStudy (anonymous):

the answer is a fraction the answer is 2/3

OpenStudy (unklerhaukus):

what answer are you getting @selenamalter?

OpenStudy (anonymous):

\[2 * \log _{7}(7^{1/3)} = \frac{ 2 }{ 3 } \log _{7}(7) = 2/3\] as, \[\sqrt[3]{7} = 7^{(1/3)}\] and \[\log(x ^{n}) = n * \log(x)\]

OpenStudy (anonymous):

and \[\log _{7}(7) = 1\]

OpenStudy (anonymous):

okay, so i did it too and got 2/3

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