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Mathematics 13 Online
OpenStudy (anonymous):

Simplify, if possible. log4 1024

OpenStudy (zzr0ck3r):

log base?

OpenStudy (anonymous):

thats all it gave it

OpenStudy (anonymous):

it would give u the answer of 5 because 4^5=1024

OpenStudy (anonymous):

understand?

OpenStudy (anonymous):

\[\log_{4}1024\]Rewrite into exponential form and write with common base. \[4^{x} = 1024\]\[4^{x} = 4^{5}\]Now that the bases are common, drop them and solve for x.\[x = 5\]see?

OpenStudy (anonymous):

\[Log_{4}(1024) = Log_{4}(4)^5 = 5Log_{4}4 = 5\]

OpenStudy (anonymous):

ohh ok, i understand thaat. the way this class is teaching me is wierd.. thanks

OpenStudy (anonymous):

Both ways work. You're welcome :)

OpenStudy (zzr0ck3r):

O its log_4(1024)?

OpenStudy (anonymous):

ya

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