SOLUTION: Please could you solve the following showing how you get to the answer. Thanks 27^n-1 = 3^6 twenty-seven to the power (n negative one) equals three to the power six

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please could you solve the following showing how you get to the answer. Thanks 27^n-1 = 3^6 twenty-seven to the power (n negative one) equals three to the power six      Log On


   

Question 838170: Please could you solve the following showing how you get to the answer. Thanks
27^n-1 = 3^6
twenty-seven to the power (n negative one) equals three to the power six
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
27%5E%28n-1%29+=+3%5E6
(n-1)*log(27) = 6log(3)
n-1 = 6log(3)/log(27)
n = 1 + 6log(3)/log(27)
Using a calculator
n = 1 + 2
n = 3
--------------
If you know
27+=+3%5E3
27%5E%28n-1%29+=+3%5E6
3%5E%283%28n-1%29%29+=+3%5E6
3(n-1) = 6
n-1 = 2
n = 3