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Simplify 6^log(base36)9

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2 Answers

6^(log369)

Use "change of base":

log36 9 = (log6 9)/(log6 36)

Since log6 36 = 2,

6^(log369) = 6^((log6 9)/2) = (6^(log6 9))1/2


(6^(log6 9))1/2

Since 6^(log6 9) = 9

(9)1/2 = sqrt(9) = 3


Answer:
3

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