Inactive Tutor answered • 11/25/13
Tutor
New to Wyzant
6(log369)=6(log69/log636)=6(log69)/2=√9=3, since 6log69=9
Jamey J.
asked • 11/24/13Simplify 6^log(base36)9
Simplify
6^log(36)9
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2 Answers By Expert Tutors
Inactive Tutor answered • 11/25/13
Tutor
New to Wyzant
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
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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Inactive Tutor
10/24/15