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Question about this log

[From: ] [author: ] [Date: 12-03-16] [Hit: ]
......
i don't know how to type this on the computer. but i'll try my best.. why is the answer to this 3/2?

log(base 3) * sq.root of 27

-
log[a](b^c) = c * log[a](b)
log[a](a) = 1

log[3](27^(1/2)) =>
(1/2) * log[3](27) =>
(1/2) * log[3](3^3) =>
(1/2) * 3 * log[3](3) =>
(3/2) * 1 =>
3/2
1
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