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Mathematics 15 Online
OpenStudy (anonymous):

What is log n (base 4) * log n ?

OpenStudy (amistre64):

the question seems a bit vague, what base is log n

OpenStudy (amistre64):

if they aint the same bases, then use change of base to play with them

OpenStudy (anonymous):

base 10

OpenStudy (anonymous):

how can change the base?

OpenStudy (amistre64):

log_a (b) = log(b)/log(a)

OpenStudy (amistre64):

so, you have: log_4 (n) * log(n) log(n)/log(4) * log(n)

OpenStudy (anonymous):

log (b)/log(a) << is all base 10

OpenStudy (amistre64):

yeah, or all base k if need be

OpenStudy (anonymous):

so it is log(n)^2/ log (4) thank you :D

OpenStudy (amistre64):

log^2(n)/log(4) yes, or even (log(n))^2/log(4)

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