SOLUTION: Please solve the following equation: 13.8 = [1/4]^(3x-6) Thanks !

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please solve the following equation: 13.8 = [1/4]^(3x-6) Thanks !       Log On


   

Question 142898: Please solve the following equation:
13.8 = [1/4]^(3x-6)
Thanks !
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Use logs.
Given: 13.8+=+%281%2F4%29%5E%283x-6%29
Take logs of both sides
Log%2813.8%29+=+Log%28%281%2F4%29%5E%283x-6%29%29
Log%2813.8%29+=+%283x-6%29%2ALog%281%2F4%29
Evaluate the logs. Then solve for x