SOLUTION: how do you solve this: base is 10. log(6x-2)=3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: how do you solve this: base is 10. log(6x-2)=3      Log On


   

Question 585342: how do you solve this:
base is 10.
log(6x-2)=3
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
Log%5B10%5D%286x-2%29+=+3 Rewrite this in exponential form: Log%5Bb%5D%28x%29+=+y===>b%5Ey+=+x
10%5E3+=+6x-2 Add 2 to both sides.
1002+=+6x Divide both sides by 6.
x+=+167