Simplify

6^log(36)9

Simplify

6^log(36)9

Tutors, please sign in to answer this question.

Wilton, CT

6^{(log369)}=6^{(log69/log636)}=6^{(log69)/2}=√9=3, since 6^{log69}=9

Decatur, AL

6^(log_{36}9)

Use "change of base":

log_{36} 9 = (log_{6} 9)/(log_{6} 36)

Since log_{6} 36 = 2,

6^(log_{36}9) = 6^((log_{6} 9)/2) = (6^(log_{6} 9))^{1/2}

(6^(log_{6} 9))^{1/2}

Since 6^(log_{6} 9) = 9

(9)^{1/2} = sqrt(9) = 3

Answer:

3

Use "change of base":

log

Since log

6^(log

(6^(log

Since 6^(log

(9)

Answer:

3

Daniel H.

Harvard & Law School Graduate - Master Tutor for Tests/Academics

New York, NY

4.9
(45 ratings)

Mary F.

Highly Qualified Math Teacher, Kaplan Trained

Bronxville, NY

5.0
(51 ratings)

Eric F.

Experienced, patient and knowledgeable Ivy League Graduate Tutor

New York, NY

5.0
(62 ratings)

- Math 8563
- Algebra 1 3723
- Algebra 2 3145
- Word Problem 4712
- Algebra Help 937
- Math Help 4836
- Algebra Word Problem 2297
- College Algebra 973
- Word Problems 1370
- Equations 640

## Comments